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Finding the Fourth Proportional to 16,148.97, 24,224.86 and 4,462.20

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Solution

The fourth proportional to 16,148.97, 24,224.86 and 4,462.20 is: 6,693.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.97 : 24,224.86 = 4,462.20 : x
  2. Step 2: Convert to fraction form
    16,148.97/24,224.86 = 4,462.20/x
  3. Step 3: Cross multiply
    16,148.97x = 24,224.86 × 4,462.20
  4. Step 4: Simplify right side
    16,148.97x = 108,096,170.29
  5. Step 5: Solve for x
    x = 108,096,170.29/16,148.97
  6. Step 6: Final answer
    x = 6,693.69

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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.