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Finding the Fourth Proportional to 23,029.50, 31,781.07 and 14,657.34

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Solution

The fourth proportional to 23,029.50, 31,781.07 and 14,657.34 is: 20,227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,029.50 : 31,781.07 = 14,657.34 : x
  2. Step 2: Convert to fraction form
    23,029.50/31,781.07 = 14,657.34/x
  3. Step 3: Cross multiply
    23,029.50x = 31,781.07 × 14,657.34
  4. Step 4: Simplify right side
    23,029.50x = 465,825,948.55
  5. Step 5: Solve for x
    x = 465,825,948.55/23,029.50
  6. Step 6: Final answer
    x = 20,227.36

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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.