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Finding the Fourth Proportional to 23,680.80, 35,474.40 and 12,002.40

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Solution

The fourth proportional to 23,680.80, 35,474.40 and 12,002.40 is: 17,979.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,680.80 : 35,474.40 = 12,002.40 : x
  2. Step 2: Convert to fraction form
    23,680.80/35,474.40 = 12,002.40/x
  3. Step 3: Cross multiply
    23,680.80x = 35,474.40 × 12,002.40
  4. Step 4: Simplify right side
    23,680.80x = 425,777,938.56
  5. Step 5: Solve for x
    x = 425,777,938.56/23,680.80
  6. Step 6: Final answer
    x = 17,979.88

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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.