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Finding the Fourth Proportional to 22,837.66, 34,259.92 and 8,043.98

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Solution

The fourth proportional to 22,837.66, 34,259.92 and 8,043.98 is: 12,067.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,837.66 : 34,259.92 = 8,043.98 : x
  2. Step 2: Convert to fraction form
    22,837.66/34,259.92 = 8,043.98/x
  3. Step 3: Cross multiply
    22,837.66x = 34,259.92 × 8,043.98
  4. Step 4: Simplify right side
    22,837.66x = 275,586,111.28
  5. Step 5: Solve for x
    x = 275,586,111.28/22,837.66
  6. Step 6: Final answer
    x = 12,067.18

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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.