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Finding the Fourth Proportional to 16,189.60, 24,284.47 and 8,287.81

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Solution

The fourth proportional to 16,189.60, 24,284.47 and 8,287.81 is: 12,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189.60 : 24,284.47 = 8,287.81 : x
  2. Step 2: Convert to fraction form
    16,189.60/24,284.47 = 8,287.81/x
  3. Step 3: Cross multiply
    16,189.60x = 24,284.47 × 8,287.81
  4. Step 4: Simplify right side
    16,189.60x = 201,265,073.31
  5. Step 5: Solve for x
    x = 201,265,073.31/16,189.60
  6. Step 6: Final answer
    x = 12,431.75

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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.