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Finding the Fourth Proportional to 38,024.25, 57,044.03 and 11,727.87

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Solution

The fourth proportional to 38,024.25, 57,044.03 and 11,727.87 is: 17,594.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,024.25 : 57,044.03 = 11,727.87 : x
  2. Step 2: Convert to fraction form
    38,024.25/57,044.03 = 11,727.87/x
  3. Step 3: Cross multiply
    38,024.25x = 57,044.03 × 11,727.87
  4. Step 4: Simplify right side
    38,024.25x = 669,004,909.48
  5. Step 5: Solve for x
    x = 669,004,909.48/38,024.25
  6. Step 6: Final answer
    x = 17,594.16

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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.