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Finding the Fourth Proportional to 22,479.38, 31,021.15 and 12,407.81

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Solution

The fourth proportional to 22,479.38, 31,021.15 and 12,407.81 is: 17,122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,479.38 : 31,021.15 = 12,407.81 : x
  2. Step 2: Convert to fraction form
    22,479.38/31,021.15 = 12,407.81/x
  3. Step 3: Cross multiply
    22,479.38x = 31,021.15 × 12,407.81
  4. Step 4: Simplify right side
    22,479.38x = 384,904,473.14
  5. Step 5: Solve for x
    x = 384,904,473.14/22,479.38
  6. Step 6: Final answer
    x = 17,122.56

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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.