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Finding the Fourth Proportional to 38,414.80, 57,622.10 and 10,712.80

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Solution

The fourth proportional to 38,414.80, 57,622.10 and 10,712.80 is: 16,069.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,414.80 : 57,622.10 = 10,712.80 : x
  2. Step 2: Convert to fraction form
    38,414.80/57,622.10 = 10,712.80/x
  3. Step 3: Cross multiply
    38,414.80x = 57,622.10 × 10,712.80
  4. Step 4: Simplify right side
    38,414.80x = 617,294,032.88
  5. Step 5: Solve for x
    x = 617,294,032.88/38,414.80
  6. Step 6: Final answer
    x = 16,069.17

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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.