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Finding the Fourth Proportional to 22,994.29, 34,493.87 and 9,843.13

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Solution

The fourth proportional to 22,994.29, 34,493.87 and 9,843.13 is: 14,765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,994.29 : 34,493.87 = 9,843.13 : x
  2. Step 2: Convert to fraction form
    22,994.29/34,493.87 = 9,843.13/x
  3. Step 3: Cross multiply
    22,994.29x = 34,493.87 × 9,843.13
  4. Step 4: Simplify right side
    22,994.29x = 339,527,646.61
  5. Step 5: Solve for x
    x = 339,527,646.61/22,994.29
  6. Step 6: Final answer
    x = 14,765.74

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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.