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Finding the Fourth Proportional to 38,397.80, 57,564.70 and 16,228.20

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Solution

The fourth proportional to 38,397.80, 57,564.70 and 16,228.20 is: 24,328.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,397.80 : 57,564.70 = 16,228.20 : x
  2. Step 2: Convert to fraction form
    38,397.80/57,564.70 = 16,228.20/x
  3. Step 3: Cross multiply
    38,397.80x = 57,564.70 × 16,228.20
  4. Step 4: Simplify right side
    38,397.80x = 934,171,464.54
  5. Step 5: Solve for x
    x = 934,171,464.54/38,397.80
  6. Step 6: Final answer
    x = 24,328.78

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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.