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Finding the Fourth Proportional to 25,902.88, 38,865.84 and 13,588

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Solution

The fourth proportional to 25,902.88, 38,865.84 and 13,588 is: 20,388.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,902.88 : 38,865.84 = 13,588 : x
  2. Step 2: Convert to fraction form
    25,902.88/38,865.84 = 13,588/x
  3. Step 3: Cross multiply
    25,902.88x = 38,865.84 × 13,588
  4. Step 4: Simplify right side
    25,902.88x = 528,109,033.92
  5. Step 5: Solve for x
    x = 528,109,033.92/25,902.88
  6. Step 6: Final answer
    x = 20,388.04

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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.