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Finding the Fourth Proportional to 16,478.40, 24,775.20 and 16,132.80

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Solution

The fourth proportional to 16,478.40, 24,775.20 and 16,132.80 is: 24,255.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.40 : 24,775.20 = 16,132.80 : x
  2. Step 2: Convert to fraction form
    16,478.40/24,775.20 = 16,132.80/x
  3. Step 3: Cross multiply
    16,478.40x = 24,775.20 × 16,132.80
  4. Step 4: Simplify right side
    16,478.40x = 399,693,346.56
  5. Step 5: Solve for x
    x = 399,693,346.56/16,478.40
  6. Step 6: Final answer
    x = 24,255.59

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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.