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Finding the Fourth Proportional to 16,214.19, 22,375.61 and 9,140.59

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Solution

The fourth proportional to 16,214.19, 22,375.61 and 9,140.59 is: 12,614.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.19 : 22,375.61 = 9,140.59 : x
  2. Step 2: Convert to fraction form
    16,214.19/22,375.61 = 9,140.59/x
  3. Step 3: Cross multiply
    16,214.19x = 22,375.61 × 9,140.59
  4. Step 4: Simplify right side
    16,214.19x = 204,526,277.01
  5. Step 5: Solve for x
    x = 204,526,277.01/16,214.19
  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.