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Finding the Fourth Proportional to 25,402.20, 38,105 and 8,763.88

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Solution

The fourth proportional to 25,402.20, 38,105 and 8,763.88 is: 13,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,402.20 : 38,105 = 8,763.88 : x
  2. Step 2: Convert to fraction form
    25,402.20/38,105 = 8,763.88/x
  3. Step 3: Cross multiply
    25,402.20x = 38,105 × 8,763.88
  4. Step 4: Simplify right side
    25,402.20x = 333,947,647.40
  5. Step 5: Solve for x
    x = 333,947,647.40/25,402.20
  6. Step 6: Final answer
    x = 13,146.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.