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Finding the Fourth Proportional to 17,042, 25,546.68 and 8,718.80

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Solution

The fourth proportional to 17,042, 25,546.68 and 8,718.80 is: 13,069.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,042 : 25,546.68 = 8,718.80 : x
  2. Step 2: Convert to fraction form
    17,042/25,546.68 = 8,718.80/x
  3. Step 3: Cross multiply
    17,042x = 25,546.68 × 8,718.80
  4. Step 4: Simplify right side
    17,042x = 222,736,393.58
  5. Step 5: Solve for x
    x = 222,736,393.58/17,042
  6. Step 6: Final answer
    x = 13,069.85

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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.