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Finding the Fourth Proportional to 12,569.92, 17,334.90 and 8,542.78

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Solution

The fourth proportional to 12,569.92, 17,334.90 and 8,542.78 is: 11,781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.92 : 17,334.90 = 8,542.78 : x
  2. Step 2: Convert to fraction form
    12,569.92/17,334.90 = 8,542.78/x
  3. Step 3: Cross multiply
    12,569.92x = 17,334.90 × 8,542.78
  4. Step 4: Simplify right side
    12,569.92x = 148,088,237.02
  5. Step 5: Solve for x
    x = 148,088,237.02/12,569.92
  6. Step 6: Final answer
    x = 11,781.16

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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.