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Finding the Fourth Proportional to 17,934.12, 24,750 and 9,976.50

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Solution

The fourth proportional to 17,934.12, 24,750 and 9,976.50 is: 13,768.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,934.12 : 24,750 = 9,976.50 : x
  2. Step 2: Convert to fraction form
    17,934.12/24,750 = 9,976.50/x
  3. Step 3: Cross multiply
    17,934.12x = 24,750 × 9,976.50
  4. Step 4: Simplify right side
    17,934.12x = 246,918,375
  5. Step 5: Solve for x
    x = 246,918,375/17,934.12
  6. Step 6: Final answer
    x = 13,768.08

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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.