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Finding the Fourth Proportional to 14,449.71, 21,691.85 and 8,609.07

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Solution

The fourth proportional to 14,449.71, 21,691.85 and 8,609.07 is: 12,923.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,449.71 : 21,691.85 = 8,609.07 : x
  2. Step 2: Convert to fraction form
    14,449.71/21,691.85 = 8,609.07/x
  3. Step 3: Cross multiply
    14,449.71x = 21,691.85 × 8,609.07
  4. Step 4: Simplify right side
    14,449.71x = 186,746,655.08
  5. Step 5: Solve for x
    x = 186,746,655.08/14,449.71
  6. Step 6: Final answer
    x = 12,923.90

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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.