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Finding the Fourth Proportional to 24,549.89, 36,824.85 and 7,912.40

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Solution

The fourth proportional to 24,549.89, 36,824.85 and 7,912.40 is: 11,868.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,549.89 : 36,824.85 = 7,912.40 : x
  2. Step 2: Convert to fraction form
    24,549.89/36,824.85 = 7,912.40/x
  3. Step 3: Cross multiply
    24,549.89x = 36,824.85 × 7,912.40
  4. Step 4: Simplify right side
    24,549.89x = 291,372,759.02
  5. Step 5: Solve for x
    x = 291,372,759.02/24,549.89
  6. Step 6: Final answer
    x = 11,868.60

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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.