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Finding the Fourth Proportional to 22,708.44, 34,074 and 14,365.44

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Solution

The fourth proportional to 22,708.44, 34,074 and 14,365.44 is: 21,555.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,708.44 : 34,074 = 14,365.44 : x
  2. Step 2: Convert to fraction form
    22,708.44/34,074 = 14,365.44/x
  3. Step 3: Cross multiply
    22,708.44x = 34,074 × 14,365.44
  4. Step 4: Simplify right side
    22,708.44x = 489,488,002.56
  5. Step 5: Solve for x
    x = 489,488,002.56/22,708.44
  6. Step 6: Final answer
    x = 21,555.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.