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Finding the Fourth Proportional to 38,471.84, 57,708.24 and 13,510.88

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Solution

The fourth proportional to 38,471.84, 57,708.24 and 13,510.88 is: 20,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,471.84 : 57,708.24 = 13,510.88 : x
  2. Step 2: Convert to fraction form
    38,471.84/57,708.24 = 13,510.88/x
  3. Step 3: Cross multiply
    38,471.84x = 57,708.24 × 13,510.88
  4. Step 4: Simplify right side
    38,471.84x = 779,689,105.65
  5. Step 5: Solve for x
    x = 779,689,105.65/38,471.84
  6. Step 6: Final answer
    x = 20,266.49

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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.