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Finding the Fourth Proportional to 22,971.88, 34,448.08 and 8,184.52

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Solution

The fourth proportional to 22,971.88, 34,448.08 and 8,184.52 is: 12,273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971.88 : 34,448.08 = 8,184.52 : x
  2. Step 2: Convert to fraction form
    22,971.88/34,448.08 = 8,184.52/x
  3. Step 3: Cross multiply
    22,971.88x = 34,448.08 × 8,184.52
  4. Step 4: Simplify right side
    22,971.88x = 281,940,999.72
  5. Step 5: Solve for x
    x = 281,940,999.72/22,971.88
  6. Step 6: Final answer
    x = 12,273.31

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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.