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Finding the Fourth Proportional to 38,086.76, 57,130.07 and 11,432.72

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Solution

The fourth proportional to 38,086.76, 57,130.07 and 11,432.72 is: 17,149.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,086.76 : 57,130.07 = 11,432.72 : x
  2. Step 2: Convert to fraction form
    38,086.76/57,130.07 = 11,432.72/x
  3. Step 3: Cross multiply
    38,086.76x = 57,130.07 × 11,432.72
  4. Step 4: Simplify right side
    38,086.76x = 653,152,026.91
  5. Step 5: Solve for x
    x = 653,152,026.91/38,086.76
  6. Step 6: Final answer
    x = 17,149.06

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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.