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Finding the Fourth Proportional to 19,842.26, 29,763.39 and 9,422.42

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Solution

The fourth proportional to 19,842.26, 29,763.39 and 9,422.42 is: 14,133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.26 : 29,763.39 = 9,422.42 : x
  2. Step 2: Convert to fraction form
    19,842.26/29,763.39 = 9,422.42/x
  3. Step 3: Cross multiply
    19,842.26x = 29,763.39 × 9,422.42
  4. Step 4: Simplify right side
    19,842.26x = 280,443,161.20
  5. Step 5: Solve for x
    x = 280,443,161.20/19,842.26
  6. Step 6: Final answer
    x = 14,133.63

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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.