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Finding the Fourth Proportional to 12,684.11, 17,510.22 and 8,442.24

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Solution

The fourth proportional to 12,684.11, 17,510.22 and 8,442.24 is: 11,654.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.11 : 17,510.22 = 8,442.24 : x
  2. Step 2: Convert to fraction form
    12,684.11/17,510.22 = 8,442.24/x
  3. Step 3: Cross multiply
    12,684.11x = 17,510.22 × 8,442.24
  4. Step 4: Simplify right side
    12,684.11x = 147,825,479.69
  5. Step 5: Solve for x
    x = 147,825,479.69/12,684.11
  6. Step 6: Final answer
    x = 11,654.39

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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.