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Finding the Fourth Proportional to 22,708.80, 34,062.80 and 10,219.98

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Solution

The fourth proportional to 22,708.80, 34,062.80 and 10,219.98 is: 15,329.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,708.80 : 34,062.80 = 10,219.98 : x
  2. Step 2: Convert to fraction form
    22,708.80/34,062.80 = 10,219.98/x
  3. Step 3: Cross multiply
    22,708.80x = 34,062.80 × 10,219.98
  4. Step 4: Simplify right side
    22,708.80x = 348,121,134.74
  5. Step 5: Solve for x
    x = 348,121,134.74/22,708.80
  6. Step 6: Final answer
    x = 15,329.79

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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.