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Finding the Fourth Proportional to 15,121.42, 20,868.76 and 8,409.22

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Solution

The fourth proportional to 15,121.42, 20,868.76 and 8,409.22 is: 11,605.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,121.42 : 20,868.76 = 8,409.22 : x
  2. Step 2: Convert to fraction form
    15,121.42/20,868.76 = 8,409.22/x
  3. Step 3: Cross multiply
    15,121.42x = 20,868.76 × 8,409.22
  4. Step 4: Simplify right side
    15,121.42x = 175,489,993.97
  5. Step 5: Solve for x
    x = 175,489,993.97/15,121.42
  6. Step 6: Final answer
    x = 11,605.39

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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.