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Finding the Fourth Proportional to 16,292.52, 22,482.18 and 9,217.80

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Solution

The fourth proportional to 16,292.52, 22,482.18 and 9,217.80 is: 12,719.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,292.52 : 22,482.18 = 9,217.80 : x
  2. Step 2: Convert to fraction form
    16,292.52/22,482.18 = 9,217.80/x
  3. Step 3: Cross multiply
    16,292.52x = 22,482.18 × 9,217.80
  4. Step 4: Simplify right side
    16,292.52x = 207,236,238.80
  5. Step 5: Solve for x
    x = 207,236,238.80/16,292.52
  6. Step 6: Final answer
    x = 12,719.72

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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.