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Finding the Fourth Proportional to 17,932.84, 24,747.60 and 9,975.40

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Solution

The fourth proportional to 17,932.84, 24,747.60 and 9,975.40 is: 13,766.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,932.84 : 24,747.60 = 9,975.40 : x
  2. Step 2: Convert to fraction form
    17,932.84/24,747.60 = 9,975.40/x
  3. Step 3: Cross multiply
    17,932.84x = 24,747.60 × 9,975.40
  4. Step 4: Simplify right side
    17,932.84x = 246,867,209.04
  5. Step 5: Solve for x
    x = 246,867,209.04/17,932.84
  6. Step 6: Final answer
    x = 13,766.21

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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.