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Finding the Fourth Proportional to 17,046.71, 25,580.71 and 6,517.62

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Solution

The fourth proportional to 17,046.71, 25,580.71 and 6,517.62 is: 9,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,046.71 : 25,580.71 = 6,517.62 : x
  2. Step 2: Convert to fraction form
    17,046.71/25,580.71 = 6,517.62/x
  3. Step 3: Cross multiply
    17,046.71x = 25,580.71 × 6,517.62
  4. Step 4: Simplify right side
    17,046.71x = 166,725,355.26
  5. Step 5: Solve for x
    x = 166,725,355.26/17,046.71
  6. Step 6: Final answer
    x = 9,780.50

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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.