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Finding the Fourth Proportional to 22,852.90, 34,275.89 and 7,862.30

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Solution

The fourth proportional to 22,852.90, 34,275.89 and 7,862.30 is: 11,792.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,852.90 : 34,275.89 = 7,862.30 : x
  2. Step 2: Convert to fraction form
    22,852.90/34,275.89 = 7,862.30/x
  3. Step 3: Cross multiply
    22,852.90x = 34,275.89 × 7,862.30
  4. Step 4: Simplify right side
    22,852.90x = 269,487,329.95
  5. Step 5: Solve for x
    x = 269,487,329.95/22,852.90
  6. Step 6: Final answer
    x = 11,792.26

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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.