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Finding the Fourth Proportional to 16,343.20, 24,514.80 and 10,511.20

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Solution

The fourth proportional to 16,343.20, 24,514.80 and 10,511.20 is: 15,766.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,343.20 : 24,514.80 = 10,511.20 : x
  2. Step 2: Convert to fraction form
    16,343.20/24,514.80 = 10,511.20/x
  3. Step 3: Cross multiply
    16,343.20x = 24,514.80 × 10,511.20
  4. Step 4: Simplify right side
    16,343.20x = 257,679,965.76
  5. Step 5: Solve for x
    x = 257,679,965.76/16,343.20
  6. Step 6: Final answer
    x = 15,766.80

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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.