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Finding the Fourth Proportional to 17,937.18, 24,751.08 and 9,978.84

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Solution

The fourth proportional to 17,937.18, 24,751.08 and 9,978.84 is: 13,769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,937.18 : 24,751.08 = 9,978.84 : x
  2. Step 2: Convert to fraction form
    17,937.18/24,751.08 = 9,978.84/x
  3. Step 3: Cross multiply
    17,937.18x = 24,751.08 × 9,978.84
  4. Step 4: Simplify right side
    17,937.18x = 246,987,067.15
  5. Step 5: Solve for x
    x = 246,987,067.15/17,937.18
  6. Step 6: Final answer
    x = 13,769.56

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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.