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Finding the Fourth Proportional to 25,748.70, 38,623.05 and 8,220.30

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Solution

The fourth proportional to 25,748.70, 38,623.05 and 8,220.30 is: 12,330.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,748.70 : 38,623.05 = 8,220.30 : x
  2. Step 2: Convert to fraction form
    25,748.70/38,623.05 = 8,220.30/x
  3. Step 3: Cross multiply
    25,748.70x = 38,623.05 × 8,220.30
  4. Step 4: Simplify right side
    25,748.70x = 317,493,057.92
  5. Step 5: Solve for x
    x = 317,493,057.92/25,748.70
  6. Step 6: Final answer
    x = 12,330.45

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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.