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Finding the Fourth Proportional to 16,344.10, 24,519.78 and 4,657.42

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Solution

The fourth proportional to 16,344.10, 24,519.78 and 4,657.42 is: 6,987.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344.10 : 24,519.78 = 4,657.42 : x
  2. Step 2: Convert to fraction form
    16,344.10/24,519.78 = 4,657.42/x
  3. Step 3: Cross multiply
    16,344.10x = 24,519.78 × 4,657.42
  4. Step 4: Simplify right side
    16,344.10x = 114,198,913.77
  5. Step 5: Solve for x
    x = 114,198,913.77/16,344.10
  6. Step 6: Final answer
    x = 6,987.16

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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.