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Finding the Fourth Proportional to 22,411.88, 30,927.24 and 12,338.38

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Solution

The fourth proportional to 22,411.88, 30,927.24 and 12,338.38 is: 17,026.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,411.88 : 30,927.24 = 12,338.38 : x
  2. Step 2: Convert to fraction form
    22,411.88/30,927.24 = 12,338.38/x
  3. Step 3: Cross multiply
    22,411.88x = 30,927.24 × 12,338.38
  4. Step 4: Simplify right side
    22,411.88x = 381,592,039.47
  5. Step 5: Solve for x
    x = 381,592,039.47/22,411.88
  6. Step 6: Final answer
    x = 17,026.33

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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.