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Finding the Fourth Proportional to 24,327.84, 33,572.92 and 13,715.42

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Solution

The fourth proportional to 24,327.84, 33,572.92 and 13,715.42 is: 18,927.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,327.84 : 33,572.92 = 13,715.42 : x
  2. Step 2: Convert to fraction form
    24,327.84/33,572.92 = 13,715.42/x
  3. Step 3: Cross multiply
    24,327.84x = 33,572.92 × 13,715.42
  4. Step 4: Simplify right side
    24,327.84x = 460,466,648.78
  5. Step 5: Solve for x
    x = 460,466,648.78/24,327.84
  6. Step 6: Final answer
    x = 18,927.56

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