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Finding the Fourth Proportional to 21,256.49, 31,877.97 and 7,745.98

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Solution

The fourth proportional to 21,256.49, 31,877.97 and 7,745.98 is: 11,616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,256.49 : 31,877.97 = 7,745.98 : x
  2. Step 2: Convert to fraction form
    21,256.49/31,877.97 = 7,745.98/x
  3. Step 3: Cross multiply
    21,256.49x = 31,877.97 × 7,745.98
  4. Step 4: Simplify right side
    21,256.49x = 246,926,118.06
  5. Step 5: Solve for x
    x = 246,926,118.06/21,256.49
  6. Step 6: Final answer
    x = 11,616.50

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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.