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Finding the Fourth Proportional to 16,470.96, 24,710.48 and 5,378.24

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Solution

The fourth proportional to 16,470.96, 24,710.48 and 5,378.24 is: 8,068.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470.96 : 24,710.48 = 5,378.24 : x
  2. Step 2: Convert to fraction form
    16,470.96/24,710.48 = 5,378.24/x
  3. Step 3: Cross multiply
    16,470.96x = 24,710.48 × 5,378.24
  4. Step 4: Simplify right side
    16,470.96x = 132,898,891.96
  5. Step 5: Solve for x
    x = 132,898,891.96/16,470.96
  6. Step 6: Final answer
    x = 8,068.68

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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.