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Finding the Fourth Proportional to 22,494.36, 31,042.38 and 12,422.52

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Solution

The fourth proportional to 22,494.36, 31,042.38 and 12,422.52 is: 17,143.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,494.36 : 31,042.38 = 12,422.52 : x
  2. Step 2: Convert to fraction form
    22,494.36/31,042.38 = 12,422.52/x
  3. Step 3: Cross multiply
    22,494.36x = 31,042.38 × 12,422.52
  4. Step 4: Simplify right side
    22,494.36x = 385,624,586.40
  5. Step 5: Solve for x
    x = 385,624,586.40/22,494.36
  6. Step 6: Final answer
    x = 17,143.17

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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.