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Finding the Fourth Proportional to 17,937.19, 24,751.92 and 9,978.76

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Solution

The fourth proportional to 17,937.19, 24,751.92 and 9,978.76 is: 13,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,937.19 : 24,751.92 = 9,978.76 : x
  2. Step 2: Convert to fraction form
    17,937.19/24,751.92 = 9,978.76/x
  3. Step 3: Cross multiply
    17,937.19x = 24,751.92 × 9,978.76
  4. Step 4: Simplify right side
    17,937.19x = 246,993,469.22
  5. Step 5: Solve for x
    x = 246,993,469.22/17,937.19
  6. Step 6: Final answer
    x = 13,769.91

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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.