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Finding the Fourth Proportional to 12,346.57, 18,508.68 and 4,447.24

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Solution

The fourth proportional to 12,346.57, 18,508.68 and 4,447.24 is: 6,666.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.57 : 18,508.68 = 4,447.24 : x
  2. Step 2: Convert to fraction form
    12,346.57/18,508.68 = 4,447.24/x
  3. Step 3: Cross multiply
    12,346.57x = 18,508.68 × 4,447.24
  4. Step 4: Simplify right side
    12,346.57x = 82,312,542.04
  5. Step 5: Solve for x
    x = 82,312,542.04/12,346.57
  6. Step 6: Final answer
    x = 6,666.83

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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.