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Finding the Fourth Proportional to 25,748.20, 38,629.64 and 8,219.40

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Solution

The fourth proportional to 25,748.20, 38,629.64 and 8,219.40 is: 12,331.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,748.20 : 38,629.64 = 8,219.40 : x
  2. Step 2: Convert to fraction form
    25,748.20/38,629.64 = 8,219.40/x
  3. Step 3: Cross multiply
    25,748.20x = 38,629.64 × 8,219.40
  4. Step 4: Simplify right side
    25,748.20x = 317,512,463.02
  5. Step 5: Solve for x
    x = 317,512,463.02/25,748.20
  6. Step 6: Final answer
    x = 12,331.44

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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.