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Finding the Fourth Proportional to 16,149.60, 22,287.96 and 9,077.76

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Solution

The fourth proportional to 16,149.60, 22,287.96 and 9,077.76 is: 12,528.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149.60 : 22,287.96 = 9,077.76 : x
  2. Step 2: Convert to fraction form
    16,149.60/22,287.96 = 9,077.76/x
  3. Step 3: Cross multiply
    16,149.60x = 22,287.96 × 9,077.76
  4. Step 4: Simplify right side
    16,149.60x = 202,324,751.77
  5. Step 5: Solve for x
    x = 202,324,751.77/16,149.60
  6. Step 6: Final answer
    x = 12,528.16

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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.