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Finding the Fourth Proportional to 23,189.56, 34,787.04 and 8,405.44

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Solution

The fourth proportional to 23,189.56, 34,787.04 and 8,405.44 is: 12,609.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,189.56 : 34,787.04 = 8,405.44 : x
  2. Step 2: Convert to fraction form
    23,189.56/34,787.04 = 8,405.44/x
  3. Step 3: Cross multiply
    23,189.56x = 34,787.04 × 8,405.44
  4. Step 4: Simplify right side
    23,189.56x = 292,400,377.50
  5. Step 5: Solve for x
    x = 292,400,377.50/23,189.56
  6. Step 6: Final answer
    x = 12,609.14

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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.