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Finding the Fourth Proportional to 23,517.69, 32,454.97 and 12,907.31

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Solution

The fourth proportional to 23,517.69, 32,454.97 and 12,907.31 is: 17,812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,517.69 : 32,454.97 = 12,907.31 : x
  2. Step 2: Convert to fraction form
    23,517.69/32,454.97 = 12,907.31/x
  3. Step 3: Cross multiply
    23,517.69x = 32,454.97 × 12,907.31
  4. Step 4: Simplify right side
    23,517.69x = 418,906,358.83
  5. Step 5: Solve for x
    x = 418,906,358.83/23,517.69
  6. Step 6: Final answer
    x = 17,812.39

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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.