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Finding the Fourth Proportional to 38,414.13, 57,621.20 and 9,230.13

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Solution

The fourth proportional to 38,414.13, 57,621.20 and 9,230.13 is: 13,845.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,414.13 : 57,621.20 = 9,230.13 : x
  2. Step 2: Convert to fraction form
    38,414.13/57,621.20 = 9,230.13/x
  3. Step 3: Cross multiply
    38,414.13x = 57,621.20 × 9,230.13
  4. Step 4: Simplify right side
    38,414.13x = 531,851,166.76
  5. Step 5: Solve for x
    x = 531,851,166.76/38,414.13
  6. Step 6: Final answer
    x = 13,845.20

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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.