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Finding the Fourth Proportional to 22,375.84, 30,881.12 and 12,944

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Solution

The fourth proportional to 22,375.84, 30,881.12 and 12,944 is: 17,864.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,375.84 : 30,881.12 = 12,944 : x
  2. Step 2: Convert to fraction form
    22,375.84/30,881.12 = 12,944/x
  3. Step 3: Cross multiply
    22,375.84x = 30,881.12 × 12,944
  4. Step 4: Simplify right side
    22,375.84x = 399,725,217.28
  5. Step 5: Solve for x
    x = 399,725,217.28/22,375.84
  6. Step 6: Final answer
    x = 17,864.14

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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.