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Finding the Fourth Proportional to 17,923.20, 24,734.04 and 9,966.24

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Solution

The fourth proportional to 17,923.20, 24,734.04 and 9,966.24 is: 13,753.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,923.20 : 24,734.04 = 9,966.24 : x
  2. Step 2: Convert to fraction form
    17,923.20/24,734.04 = 9,966.24/x
  3. Step 3: Cross multiply
    17,923.20x = 24,734.04 × 9,966.24
  4. Step 4: Simplify right side
    17,923.20x = 246,505,378.81
  5. Step 5: Solve for x
    x = 246,505,378.81/17,923.20
  6. Step 6: Final answer
    x = 13,753.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.