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Finding the Fourth Proportional to 17,951.84, 24,772.87 and 9,993.90

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Solution

The fourth proportional to 17,951.84, 24,772.87 and 9,993.90 is: 13,791.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,951.84 : 24,772.87 = 9,993.90 : x
  2. Step 2: Convert to fraction form
    17,951.84/24,772.87 = 9,993.90/x
  3. Step 3: Cross multiply
    17,951.84x = 24,772.87 × 9,993.90
  4. Step 4: Simplify right side
    17,951.84x = 247,577,585.49
  5. Step 5: Solve for x
    x = 247,577,585.49/17,951.84
  6. Step 6: Final answer
    x = 13,791.21

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1.5x scale

Why These Related Problems?

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