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Finding the Fourth Proportional to 17,165.73, 25,742.12 and 7,925.25

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Solution

The fourth proportional to 17,165.73, 25,742.12 and 7,925.25 is: 11,884.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,165.73 : 25,742.12 = 7,925.25 : x
  2. Step 2: Convert to fraction form
    17,165.73/25,742.12 = 7,925.25/x
  3. Step 3: Cross multiply
    17,165.73x = 25,742.12 × 7,925.25
  4. Step 4: Simplify right side
    17,165.73x = 204,012,696.90
  5. Step 5: Solve for x
    x = 204,012,696.90/17,165.73
  6. Step 6: Final answer
    x = 11,884.88

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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.