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Finding the Fourth Proportional to 22,862.18, 34,291.31 and 7,868.07

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Solution

The fourth proportional to 22,862.18, 34,291.31 and 7,868.07 is: 11,801.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,862.18 : 34,291.31 = 7,868.07 : x
  2. Step 2: Convert to fraction form
    22,862.18/34,291.31 = 7,868.07/x
  3. Step 3: Cross multiply
    22,862.18x = 34,291.31 × 7,868.07
  4. Step 4: Simplify right side
    22,862.18x = 269,806,388.13
  5. Step 5: Solve for x
    x = 269,806,388.13/22,862.18
  6. Step 6: Final answer
    x = 11,801.43

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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.