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Finding the Fourth Proportional to 17,147.67, 25,703.29 and 8,257.46

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Solution

The fourth proportional to 17,147.67, 25,703.29 and 8,257.46 is: 12,377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,147.67 : 25,703.29 = 8,257.46 : x
  2. Step 2: Convert to fraction form
    17,147.67/25,703.29 = 8,257.46/x
  3. Step 3: Cross multiply
    17,147.67x = 25,703.29 × 8,257.46
  4. Step 4: Simplify right side
    17,147.67x = 212,243,934.81
  5. Step 5: Solve for x
    x = 212,243,934.81/17,147.67
  6. Step 6: Final answer
    x = 12,377.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.