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Finding the Fourth Proportional to 22,674, 31,290.12 and 12,738

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Solution

The fourth proportional to 22,674, 31,290.12 and 12,738 is: 17,578.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,674 : 31,290.12 = 12,738 : x
  2. Step 2: Convert to fraction form
    22,674/31,290.12 = 12,738/x
  3. Step 3: Cross multiply
    22,674x = 31,290.12 × 12,738
  4. Step 4: Simplify right side
    22,674x = 398,573,548.56
  5. Step 5: Solve for x
    x = 398,573,548.56/22,674
  6. Step 6: Final answer
    x = 17,578.44

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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.