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Finding the Fourth Proportional to 17,923.16, 24,732.56 and 9,964.90

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Solution

The fourth proportional to 17,923.16, 24,732.56 and 9,964.90 is: 13,750.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,923.16 : 24,732.56 = 9,964.90 : x
  2. Step 2: Convert to fraction form
    17,923.16/24,732.56 = 9,964.90/x
  3. Step 3: Cross multiply
    17,923.16x = 24,732.56 × 9,964.90
  4. Step 4: Simplify right side
    17,923.16x = 246,457,487.14
  5. Step 5: Solve for x
    x = 246,457,487.14/17,923.16
  6. Step 6: Final answer
    x = 13,750.78

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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.