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Finding the Fourth Proportional to 12,337.72, 18,505.86 and 3,103

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Solution

The fourth proportional to 12,337.72, 18,505.86 and 3,103 is: 4,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,337.72 : 18,505.86 = 3,103 : x
  2. Step 2: Convert to fraction form
    12,337.72/18,505.86 = 3,103/x
  3. Step 3: Cross multiply
    12,337.72x = 18,505.86 × 3,103
  4. Step 4: Simplify right side
    12,337.72x = 57,423,683.58
  5. Step 5: Solve for x
    x = 57,423,683.58/12,337.72
  6. Step 6: Final answer
    x = 4,654.32

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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.