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Finding the Fourth Proportional to 23,215.90, 34,815.69 and 8,422.30

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Solution

The fourth proportional to 23,215.90, 34,815.69 and 8,422.30 is: 12,630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,215.90 : 34,815.69 = 8,422.30 : x
  2. Step 2: Convert to fraction form
    23,215.90/34,815.69 = 8,422.30/x
  3. Step 3: Cross multiply
    23,215.90x = 34,815.69 × 8,422.30
  4. Step 4: Simplify right side
    23,215.90x = 293,228,185.89
  5. Step 5: Solve for x
    x = 293,228,185.89/23,215.90
  6. Step 6: Final answer
    x = 12,630.49

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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.