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Finding the Fourth Proportional to 17,113.68, 25,672.57 and 6,581.25

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Solution

The fourth proportional to 17,113.68, 25,672.57 and 6,581.25 is: 9,872.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,113.68 : 25,672.57 = 6,581.25 : x
  2. Step 2: Convert to fraction form
    17,113.68/25,672.57 = 6,581.25/x
  3. Step 3: Cross multiply
    17,113.68x = 25,672.57 × 6,581.25
  4. Step 4: Simplify right side
    17,113.68x = 168,957,601.31
  5. Step 5: Solve for x
    x = 168,957,601.31/17,113.68
  6. Step 6: Final answer
    x = 9,872.66

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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.