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Finding the Fourth Proportional to 16,214.80, 22,376.12 and 9,141.23

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Solution

The fourth proportional to 16,214.80, 22,376.12 and 9,141.23 is: 12,614.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.80 : 22,376.12 = 9,141.23 : x
  2. Step 2: Convert to fraction form
    16,214.80/22,376.12 = 9,141.23/x
  3. Step 3: Cross multiply
    16,214.80x = 22,376.12 × 9,141.23
  4. Step 4: Simplify right side
    16,214.80x = 204,545,147.55
  5. Step 5: Solve for x
    x = 204,545,147.55/16,214.80
  6. Step 6: Final answer
    x = 12,614.72

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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.