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Finding the Fourth Proportional to 16,323.97, 24,471.60 and 6,470.17

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Solution

The fourth proportional to 16,323.97, 24,471.60 and 6,470.17 is: 9,699.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,323.97 : 24,471.60 = 6,470.17 : x
  2. Step 2: Convert to fraction form
    16,323.97/24,471.60 = 6,470.17/x
  3. Step 3: Cross multiply
    16,323.97x = 24,471.60 × 6,470.17
  4. Step 4: Simplify right side
    16,323.97x = 158,335,350.99
  5. Step 5: Solve for x
    x = 158,335,350.99/16,323.97
  6. Step 6: Final answer
    x = 9,699.56

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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.