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Finding the Fourth Proportional to 22,869.82, 34,321.14 and 9,731.42

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Solution

The fourth proportional to 22,869.82, 34,321.14 and 9,731.42 is: 14,604.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,869.82 : 34,321.14 = 9,731.42 : x
  2. Step 2: Convert to fraction form
    22,869.82/34,321.14 = 9,731.42/x
  3. Step 3: Cross multiply
    22,869.82x = 34,321.14 × 9,731.42
  4. Step 4: Simplify right side
    22,869.82x = 333,993,428.22
  5. Step 5: Solve for x
    x = 333,993,428.22/22,869.82
  6. Step 6: Final answer
    x = 14,604.11

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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.