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Finding the Fourth Proportional to 31,009.22, 42,793.85 and 17,763.78

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Solution

The fourth proportional to 31,009.22, 42,793.85 and 17,763.78 is: 24,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,009.22 : 42,793.85 = 17,763.78 : x
  2. Step 2: Convert to fraction form
    31,009.22/42,793.85 = 17,763.78/x
  3. Step 3: Cross multiply
    31,009.22x = 42,793.85 × 17,763.78
  4. Step 4: Simplify right side
    31,009.22x = 760,180,536.75
  5. Step 5: Solve for x
    x = 760,180,536.75/31,009.22
  6. Step 6: Final answer
    x = 24,514.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.