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Finding the Fourth Proportional to 16,132.66, 24,189.77 and 9,563.47

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Solution

The fourth proportional to 16,132.66, 24,189.77 and 9,563.47 is: 14,339.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,132.66 : 24,189.77 = 9,563.47 : x
  2. Step 2: Convert to fraction form
    16,132.66/24,189.77 = 9,563.47/x
  3. Step 3: Cross multiply
    16,132.66x = 24,189.77 × 9,563.47
  4. Step 4: Simplify right side
    16,132.66x = 231,338,103.14
  5. Step 5: Solve for x
    x = 231,338,103.14/16,132.66
  6. Step 6: Final answer
    x = 14,339.74

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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.