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Finding the Fourth Proportional to 16,214.48, 22,375.69 and 9,140.91

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Solution

The fourth proportional to 16,214.48, 22,375.69 and 9,140.91 is: 12,614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.48 : 22,375.69 = 9,140.91 : x
  2. Step 2: Convert to fraction form
    16,214.48/22,375.69 = 9,140.91/x
  3. Step 3: Cross multiply
    16,214.48x = 22,375.69 × 9,140.91
  4. Step 4: Simplify right side
    16,214.48x = 204,534,145.63
  5. Step 5: Solve for x
    x = 204,534,145.63/16,214.48
  6. Step 6: Final answer
    x = 12,614.29

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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.