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Finding the Fourth Proportional to 16,470.26, 24,687.69 and 7,114.70

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Solution

The fourth proportional to 16,470.26, 24,687.69 and 7,114.70 is: 10,664.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470.26 : 24,687.69 = 7,114.70 : x
  2. Step 2: Convert to fraction form
    16,470.26/24,687.69 = 7,114.70/x
  3. Step 3: Cross multiply
    16,470.26x = 24,687.69 × 7,114.70
  4. Step 4: Simplify right side
    16,470.26x = 175,645,508.04
  5. Step 5: Solve for x
    x = 175,645,508.04/16,470.26
  6. Step 6: Final answer
    x = 10,664.40

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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.