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Finding the Fourth Proportional to 23,151, 31,948.38 and 12,540.63

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Solution

The fourth proportional to 23,151, 31,948.38 and 12,540.63 is: 17,306.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,151 : 31,948.38 = 12,540.63 : x
  2. Step 2: Convert to fraction form
    23,151/31,948.38 = 12,540.63/x
  3. Step 3: Cross multiply
    23,151x = 31,948.38 × 12,540.63
  4. Step 4: Simplify right side
    23,151x = 400,652,812.68
  5. Step 5: Solve for x
    x = 400,652,812.68/23,151
  6. Step 6: Final answer
    x = 17,306.07

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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.