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Finding the Fourth Proportional to 10,446.95, 15,670.20 and 2,549.54

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Solution

The fourth proportional to 10,446.95, 15,670.20 and 2,549.54 is: 3,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.95 : 15,670.20 = 2,549.54 : x
  2. Step 2: Convert to fraction form
    10,446.95/15,670.20 = 2,549.54/x
  3. Step 3: Cross multiply
    10,446.95x = 15,670.20 × 2,549.54
  4. Step 4: Simplify right side
    10,446.95x = 39,951,840.88
  5. Step 5: Solve for x
    x = 39,951,840.88/10,446.95
  6. Step 6: Final answer
    x = 3,824.26

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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.