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Finding the Fourth Proportional to 15,942.86, 22,001.13 and 8,869.13

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Solution

The fourth proportional to 15,942.86, 22,001.13 and 8,869.13 is: 12,239.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,942.86 : 22,001.13 = 8,869.13 : x
  2. Step 2: Convert to fraction form
    15,942.86/22,001.13 = 8,869.13/x
  3. Step 3: Cross multiply
    15,942.86x = 22,001.13 × 8,869.13
  4. Step 4: Simplify right side
    15,942.86x = 195,130,882.12
  5. Step 5: Solve for x
    x = 195,130,882.12/15,942.86
  6. Step 6: Final answer
    x = 12,239.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.