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Finding the Fourth Proportional to 19,843.20, 29,723.40 and 9,322.20

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Solution

The fourth proportional to 19,843.20, 29,723.40 and 9,322.20 is: 13,963.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,843.20 : 29,723.40 = 9,322.20 : x
  2. Step 2: Convert to fraction form
    19,843.20/29,723.40 = 9,322.20/x
  3. Step 3: Cross multiply
    19,843.20x = 29,723.40 × 9,322.20
  4. Step 4: Simplify right side
    19,843.20x = 277,087,479.48
  5. Step 5: Solve for x
    x = 277,087,479.48/19,843.20
  6. Step 6: Final answer
    x = 13,963.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.