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Finding the Fourth Proportional to 16,292.71, 22,482.60 and 9,578.62

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Solution

The fourth proportional to 16,292.71, 22,482.60 and 9,578.62 is: 13,217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,292.71 : 22,482.60 = 9,578.62 : x
  2. Step 2: Convert to fraction form
    16,292.71/22,482.60 = 9,578.62/x
  3. Step 3: Cross multiply
    16,292.71x = 22,482.60 × 9,578.62
  4. Step 4: Simplify right side
    16,292.71x = 215,352,234.12
  5. Step 5: Solve for x
    x = 215,352,234.12/16,292.71
  6. Step 6: Final answer
    x = 13,217.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.