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Finding the Fourth Proportional to 13,823,641.17, 20,762,369.82 and 11,266,745.49

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Solution

The fourth proportional to 13,823,641.17, 20,762,369.82 and 11,266,745.49 is: 16,922,049.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823,641.17 : 20,762,369.82 = 11,266,745.49 : x
  2. Step 2: Convert to fraction form
    13,823,641.17/20,762,369.82 = 11,266,745.49/x
  3. Step 3: Cross multiply
    13,823,641.17x = 20,762,369.82 × 11,266,745.49
  4. Step 4: Simplify right side
    13,823,641.17x = 233,924,336,531,197.12
  5. Step 5: Solve for x
    x = 233,924,336,531,197.12/13,823,641.17
  6. Step 6: Final answer
    x = 16,922,049.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.