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Finding the Fourth Proportional to 17,538.75, 26,301.29 and 5,689.65

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Solution

The fourth proportional to 17,538.75, 26,301.29 and 5,689.65 is: 8,532.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.75 : 26,301.29 = 5,689.65 : x
  2. Step 2: Convert to fraction form
    17,538.75/26,301.29 = 5,689.65/x
  3. Step 3: Cross multiply
    17,538.75x = 26,301.29 × 5,689.65
  4. Step 4: Simplify right side
    17,538.75x = 149,645,134.65
  5. Step 5: Solve for x
    x = 149,645,134.65/17,538.75
  6. Step 6: Final answer
    x = 8,532.26

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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.