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Finding the Fourth Proportional to 22,780.86, 34,189.52 and 9,642.39

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Solution

The fourth proportional to 22,780.86, 34,189.52 and 9,642.39 is: 14,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,780.86 : 34,189.52 = 9,642.39 : x
  2. Step 2: Convert to fraction form
    22,780.86/34,189.52 = 9,642.39/x
  3. Step 3: Cross multiply
    22,780.86x = 34,189.52 × 9,642.39
  4. Step 4: Simplify right side
    22,780.86x = 329,668,637.54
  5. Step 5: Solve for x
    x = 329,668,637.54/22,780.86
  6. Step 6: Final answer
    x = 14,471.30

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