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Finding the Fourth Proportional to 23,247.60, 34,822.80 and 12,847.20

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Solution

The fourth proportional to 23,247.60, 34,822.80 and 12,847.20 is: 19,243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,247.60 : 34,822.80 = 12,847.20 : x
  2. Step 2: Convert to fraction form
    23,247.60/34,822.80 = 12,847.20/x
  3. Step 3: Cross multiply
    23,247.60x = 34,822.80 × 12,847.20
  4. Step 4: Simplify right side
    23,247.60x = 447,375,476.16
  5. Step 5: Solve for x
    x = 447,375,476.16/23,247.60
  6. Step 6: Final answer
    x = 19,243.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.