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Finding the Fourth Proportional to 22,982.40, 34,476.84 and 7,398

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Solution

The fourth proportional to 22,982.40, 34,476.84 and 7,398 is: 11,098.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,982.40 : 34,476.84 = 7,398 : x
  2. Step 2: Convert to fraction form
    22,982.40/34,476.84 = 7,398/x
  3. Step 3: Cross multiply
    22,982.40x = 34,476.84 × 7,398
  4. Step 4: Simplify right side
    22,982.40x = 255,059,662.32
  5. Step 5: Solve for x
    x = 255,059,662.32/22,982.40
  6. Step 6: Final answer
    x = 11,098.04

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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.