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Finding the Fourth Proportional to 22,781.86, 34,191.02 and 9,643.39

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Solution

The fourth proportional to 22,781.86, 34,191.02 and 9,643.39 is: 14,472.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,781.86 : 34,191.02 = 9,643.39 : x
  2. Step 2: Convert to fraction form
    22,781.86/34,191.02 = 9,643.39/x
  3. Step 3: Cross multiply
    22,781.86x = 34,191.02 × 9,643.39
  4. Step 4: Simplify right side
    22,781.86x = 329,717,340.36
  5. Step 5: Solve for x
    x = 329,717,340.36/22,781.86
  6. Step 6: Final answer
    x = 14,472.80

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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.