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Finding the Fourth Proportional to 16,067.20, 24,129.60 and 11,689.60

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Solution

The fourth proportional to 16,067.20, 24,129.60 and 11,689.60 is: 17,555.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,067.20 : 24,129.60 = 11,689.60 : x
  2. Step 2: Convert to fraction form
    16,067.20/24,129.60 = 11,689.60/x
  3. Step 3: Cross multiply
    16,067.20x = 24,129.60 × 11,689.60
  4. Step 4: Simplify right side
    16,067.20x = 282,065,372.16
  5. Step 5: Solve for x
    x = 282,065,372.16/16,067.20
  6. Step 6: Final answer
    x = 17,555.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.