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Finding the Fourth Proportional to 23,170.98, 34,760.58 and 8,400.52

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Solution

The fourth proportional to 23,170.98, 34,760.58 and 8,400.52 is: 12,602.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,170.98 : 34,760.58 = 8,400.52 : x
  2. Step 2: Convert to fraction form
    23,170.98/34,760.58 = 8,400.52/x
  3. Step 3: Cross multiply
    23,170.98x = 34,760.58 × 8,400.52
  4. Step 4: Simplify right side
    23,170.98x = 292,006,947.50
  5. Step 5: Solve for x
    x = 292,006,947.50/23,170.98
  6. Step 6: Final answer
    x = 12,602.27

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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.