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Finding the Fourth Proportional to 16,311.39, 24,470.73 and 5,218.74

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Solution

The fourth proportional to 16,311.39, 24,470.73 and 5,218.74 is: 7,829.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,311.39 : 24,470.73 = 5,218.74 : x
  2. Step 2: Convert to fraction form
    16,311.39/24,470.73 = 5,218.74/x
  3. Step 3: Cross multiply
    16,311.39x = 24,470.73 × 5,218.74
  4. Step 4: Simplify right side
    16,311.39x = 127,706,377.48
  5. Step 5: Solve for x
    x = 127,706,377.48/16,311.39
  6. Step 6: Final answer
    x = 7,829.28

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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.