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Finding the Fourth Proportional to 16,147.60, 24,221.40 and 10,286.80

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Solution

The fourth proportional to 16,147.60, 24,221.40 and 10,286.80 is: 15,430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,147.60 : 24,221.40 = 10,286.80 : x
  2. Step 2: Convert to fraction form
    16,147.60/24,221.40 = 10,286.80/x
  3. Step 3: Cross multiply
    16,147.60x = 24,221.40 × 10,286.80
  4. Step 4: Simplify right side
    16,147.60x = 249,160,697.52
  5. Step 5: Solve for x
    x = 249,160,697.52/16,147.60
  6. Step 6: Final answer
    x = 15,430.20

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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.