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Finding the Fourth Proportional to 23,348.38, 32,220.72 and 12,738.01

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Solution

The fourth proportional to 23,348.38, 32,220.72 and 12,738.01 is: 17,578.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,348.38 : 32,220.72 = 12,738.01 : x
  2. Step 2: Convert to fraction form
    23,348.38/32,220.72 = 12,738.01/x
  3. Step 3: Cross multiply
    23,348.38x = 32,220.72 × 12,738.01
  4. Step 4: Simplify right side
    23,348.38x = 410,427,853.57
  5. Step 5: Solve for x
    x = 410,427,853.57/23,348.38
  6. Step 6: Final answer
    x = 17,578.43

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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.