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Finding the Fourth Proportional to 38,000.13, 57,000.39 and 10,298.13

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Solution

The fourth proportional to 38,000.13, 57,000.39 and 10,298.13 is: 15,447.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,000.13 : 57,000.39 = 10,298.13 : x
  2. Step 2: Convert to fraction form
    38,000.13/57,000.39 = 10,298.13/x
  3. Step 3: Cross multiply
    38,000.13x = 57,000.39 × 10,298.13
  4. Step 4: Simplify right side
    38,000.13x = 586,997,141.27
  5. Step 5: Solve for x
    x = 586,997,141.27/38,000.13
  6. Step 6: Final answer
    x = 15,447.24

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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.