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Finding the Fourth Proportional to 39,414.35, 54,392.00 and 21,509.73

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Solution

The fourth proportional to 39,414.35, 54,392.00 and 21,509.73 is: 29,683.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,414.35 : 54,392.00 = 21,509.73 : x
  2. Step 2: Convert to fraction form
    39,414.35/54,392.00 = 21,509.73/x
  3. Step 3: Cross multiply
    39,414.35x = 54,392.00 × 21,509.73
  4. Step 4: Simplify right side
    39,414.35x = 1,169,957,126.61
  5. Step 5: Solve for x
    x = 1,169,957,126.61/39,414.35
  6. Step 6: Final answer
    x = 29,683.53

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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.