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Finding the Fourth Proportional to 15,218.82, 22,833.42 and 8,199.56

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Solution

The fourth proportional to 15,218.82, 22,833.42 and 8,199.56 is: 12,302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,218.82 : 22,833.42 = 8,199.56 : x
  2. Step 2: Convert to fraction form
    15,218.82/22,833.42 = 8,199.56/x
  3. Step 3: Cross multiply
    15,218.82x = 22,833.42 × 8,199.56
  4. Step 4: Simplify right side
    15,218.82x = 187,223,999.50
  5. Step 5: Solve for x
    x = 187,223,999.50/15,218.82
  6. Step 6: Final answer
    x = 12,302.13

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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.