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Finding the Fourth Proportional to 16,445.71, 24,662.13 and 5,349.70

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Solution

The fourth proportional to 16,445.71, 24,662.13 and 5,349.70 is: 8,022.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,445.71 : 24,662.13 = 5,349.70 : x
  2. Step 2: Convert to fraction form
    16,445.71/24,662.13 = 5,349.70/x
  3. Step 3: Cross multiply
    16,445.71x = 24,662.13 × 5,349.70
  4. Step 4: Simplify right side
    16,445.71x = 131,934,996.86
  5. Step 5: Solve for x
    x = 131,934,996.86/16,445.71
  6. Step 6: Final answer
    x = 8,022.46

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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.