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Finding the Fourth Proportional to 24,327, 36,501.48 and 13,938.75

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Solution

The fourth proportional to 24,327, 36,501.48 and 13,938.75 is: 20,914.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,327 : 36,501.48 = 13,938.75 : x
  2. Step 2: Convert to fraction form
    24,327/36,501.48 = 13,938.75/x
  3. Step 3: Cross multiply
    24,327x = 36,501.48 × 13,938.75
  4. Step 4: Simplify right side
    24,327x = 508,785,004.35
  5. Step 5: Solve for x
    x = 508,785,004.35/24,327
  6. Step 6: Final answer
    x = 20,914.42

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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.