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Finding the Fourth Proportional to 24,427.71, 36,640.96 and 6,897.29

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Solution

The fourth proportional to 24,427.71, 36,640.96 and 6,897.29 is: 10,345.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,427.71 : 36,640.96 = 6,897.29 : x
  2. Step 2: Convert to fraction form
    24,427.71/36,640.96 = 6,897.29/x
  3. Step 3: Cross multiply
    24,427.71x = 36,640.96 × 6,897.29
  4. Step 4: Simplify right side
    24,427.71x = 252,723,126.55
  5. Step 5: Solve for x
    x = 252,723,126.55/24,427.71
  6. Step 6: Final answer
    x = 10,345.76

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