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Finding the Fourth Proportional to 25,101.28, 37,652.05 and 8,461.46

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Solution

The fourth proportional to 25,101.28, 37,652.05 and 8,461.46 is: 12,692.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,101.28 : 37,652.05 = 8,461.46 : x
  2. Step 2: Convert to fraction form
    25,101.28/37,652.05 = 8,461.46/x
  3. Step 3: Cross multiply
    25,101.28x = 37,652.05 × 8,461.46
  4. Step 4: Simplify right side
    25,101.28x = 318,591,207.91
  5. Step 5: Solve for x
    x = 318,591,207.91/25,101.28
  6. Step 6: Final answer
    x = 12,692.23

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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.