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Finding the Fourth Proportional to 16,003.74, 24,004.89 and 6,147.66

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Solution

The fourth proportional to 16,003.74, 24,004.89 and 6,147.66 is: 9,221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003.74 : 24,004.89 = 6,147.66 : x
  2. Step 2: Convert to fraction form
    16,003.74/24,004.89 = 6,147.66/x
  3. Step 3: Cross multiply
    16,003.74x = 24,004.89 × 6,147.66
  4. Step 4: Simplify right side
    16,003.74x = 147,573,902.06
  5. Step 5: Solve for x
    x = 147,573,902.06/16,003.74
  6. Step 6: Final answer
    x = 9,221.21

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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.