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Finding the Fourth Proportional to 17,923.81, 24,734.96 and 9,966.78

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Solution

The fourth proportional to 17,923.81, 24,734.96 and 9,966.78 is: 13,754.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,923.81 : 24,734.96 = 9,966.78 : x
  2. Step 2: Convert to fraction form
    17,923.81/24,734.96 = 9,966.78/x
  3. Step 3: Cross multiply
    17,923.81x = 24,734.96 × 9,966.78
  4. Step 4: Simplify right side
    17,923.81x = 246,527,904.63
  5. Step 5: Solve for x
    x = 246,527,904.63/17,923.81
  6. Step 6: Final answer
    x = 13,754.21

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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.