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Finding the Fourth Proportional to 16,229.40, 24,344.10 and 15,538.20

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Solution

The fourth proportional to 16,229.40, 24,344.10 and 15,538.20 is: 23,307.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.40 : 24,344.10 = 15,538.20 : x
  2. Step 2: Convert to fraction form
    16,229.40/24,344.10 = 15,538.20/x
  3. Step 3: Cross multiply
    16,229.40x = 24,344.10 × 15,538.20
  4. Step 4: Simplify right side
    16,229.40x = 378,263,494.62
  5. Step 5: Solve for x
    x = 378,263,494.62/16,229.40
  6. Step 6: Final answer
    x = 23,307.30

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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.