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Finding the Fourth Proportional to 18,305.74, 25,261.92 and 9,922.24

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Solution

The fourth proportional to 18,305.74, 25,261.92 and 9,922.24 is: 13,692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,305.74 : 25,261.92 = 9,922.24 : x
  2. Step 2: Convert to fraction form
    18,305.74/25,261.92 = 9,922.24/x
  3. Step 3: Cross multiply
    18,305.74x = 25,261.92 × 9,922.24
  4. Step 4: Simplify right side
    18,305.74x = 250,654,833.10
  5. Step 5: Solve for x
    x = 250,654,833.10/18,305.74
  6. Step 6: Final answer
    x = 13,692.69

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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.