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Finding the Fourth Proportional to 12,337.20, 18,505.80 and 7,412.40

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Solution

The fourth proportional to 12,337.20, 18,505.80 and 7,412.40 is: 11,118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,337.20 : 18,505.80 = 7,412.40 : x
  2. Step 2: Convert to fraction form
    12,337.20/18,505.80 = 7,412.40/x
  3. Step 3: Cross multiply
    12,337.20x = 18,505.80 × 7,412.40
  4. Step 4: Simplify right side
    12,337.20x = 137,172,391.92
  5. Step 5: Solve for x
    x = 137,172,391.92/12,337.20
  6. Step 6: Final answer
    x = 11,118.60

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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.