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Finding the Fourth Proportional to 25,258.26, 34,871.33 and 22,456

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Solution

The fourth proportional to 25,258.26, 34,871.33 and 22,456 is: 31,002.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,258.26 : 34,871.33 = 22,456 : x
  2. Step 2: Convert to fraction form
    25,258.26/34,871.33 = 22,456/x
  3. Step 3: Cross multiply
    25,258.26x = 34,871.33 × 22,456
  4. Step 4: Simplify right side
    25,258.26x = 783,070,586.48
  5. Step 5: Solve for x
    x = 783,070,586.48/25,258.26
  6. Step 6: Final answer
    x = 31,002.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.