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Finding the Fourth Proportional to 23,195.44, 34,795.80 and 8,411.28

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Solution

The fourth proportional to 23,195.44, 34,795.80 and 8,411.28 is: 12,617.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,195.44 : 34,795.80 = 8,411.28 : x
  2. Step 2: Convert to fraction form
    23,195.44/34,795.80 = 8,411.28/x
  3. Step 3: Cross multiply
    23,195.44x = 34,795.80 × 8,411.28
  4. Step 4: Simplify right side
    23,195.44x = 292,677,216.62
  5. Step 5: Solve for x
    x = 292,677,216.62/23,195.44
  6. Step 6: Final answer
    x = 12,617.88

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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.