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Finding the Fourth Proportional to 16,214.30, 22,375.43 and 9,140.72

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Solution

The fourth proportional to 16,214.30, 22,375.43 and 9,140.72 is: 12,614.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.30 : 22,375.43 = 9,140.72 : x
  2. Step 2: Convert to fraction form
    16,214.30/22,375.43 = 9,140.72/x
  3. Step 3: Cross multiply
    16,214.30x = 22,375.43 × 9,140.72
  4. Step 4: Simplify right side
    16,214.30x = 204,527,585.02
  5. Step 5: Solve for x
    x = 204,527,585.02/16,214.30
  6. Step 6: Final answer
    x = 12,614.03

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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.