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Finding the Fourth Proportional to 22,157.82, 30,576.59 and 12,726.38

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Solution

The fourth proportional to 22,157.82, 30,576.59 and 12,726.38 is: 17,561.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,157.82 : 30,576.59 = 12,726.38 : x
  2. Step 2: Convert to fraction form
    22,157.82/30,576.59 = 12,726.38/x
  3. Step 3: Cross multiply
    22,157.82x = 30,576.59 × 12,726.38
  4. Step 4: Simplify right side
    22,157.82x = 389,129,363.98
  5. Step 5: Solve for x
    x = 389,129,363.98/22,157.82
  6. Step 6: Final answer
    x = 17,561.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.