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Finding the Fourth Proportional to 16,455.62, 22,709.14 and 9,382.70

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Solution

The fourth proportional to 16,455.62, 22,709.14 and 9,382.70 is: 12,948.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,455.62 : 22,709.14 = 9,382.70 : x
  2. Step 2: Convert to fraction form
    16,455.62/22,709.14 = 9,382.70/x
  3. Step 3: Cross multiply
    16,455.62x = 22,709.14 × 9,382.70
  4. Step 4: Simplify right side
    16,455.62x = 213,073,047.88
  5. Step 5: Solve for x
    x = 213,073,047.88/16,455.62
  6. Step 6: Final answer
    x = 12,948.35

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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.