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Finding the Fourth Proportional to 14,511.57, 21,723.62 and 9,565.71

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Solution

The fourth proportional to 14,511.57, 21,723.62 and 9,565.71 is: 14,319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,511.57 : 21,723.62 = 9,565.71 : x
  2. Step 2: Convert to fraction form
    14,511.57/21,723.62 = 9,565.71/x
  3. Step 3: Cross multiply
    14,511.57x = 21,723.62 × 9,565.71
  4. Step 4: Simplify right side
    14,511.57x = 207,801,801.24
  5. Step 5: Solve for x
    x = 207,801,801.24/14,511.57
  6. Step 6: Final answer
    x = 14,319.73

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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.