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Finding the Fourth Proportional to 25,459.30, 38,191.54 and 8,819.30

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Solution

The fourth proportional to 25,459.30, 38,191.54 and 8,819.30 is: 13,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,459.30 : 38,191.54 = 8,819.30 : x
  2. Step 2: Convert to fraction form
    25,459.30/38,191.54 = 8,819.30/x
  3. Step 3: Cross multiply
    25,459.30x = 38,191.54 × 8,819.30
  4. Step 4: Simplify right side
    25,459.30x = 336,822,648.72
  5. Step 5: Solve for x
    x = 336,822,648.72/25,459.30
  6. Step 6: Final answer
    x = 13,229.85

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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.