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Finding the Fourth Proportional to 12,419.53, 18,620.18 and 5,842.13

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Solution

The fourth proportional to 12,419.53, 18,620.18 and 5,842.13 is: 8,758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.53 : 18,620.18 = 5,842.13 : x
  2. Step 2: Convert to fraction form
    12,419.53/18,620.18 = 5,842.13/x
  3. Step 3: Cross multiply
    12,419.53x = 18,620.18 × 5,842.13
  4. Step 4: Simplify right side
    12,419.53x = 108,781,411.78
  5. Step 5: Solve for x
    x = 108,781,411.78/12,419.53
  6. Step 6: Final answer
    x = 8,758.90

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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.