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Finding the Fourth Proportional to 17,687.86, 26,522.66 and 5,206.27

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Solution

The fourth proportional to 17,687.86, 26,522.66 and 5,206.27 is: 7,806.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.86 : 26,522.66 = 5,206.27 : x
  2. Step 2: Convert to fraction form
    17,687.86/26,522.66 = 5,206.27/x
  3. Step 3: Cross multiply
    17,687.86x = 26,522.66 × 5,206.27
  4. Step 4: Simplify right side
    17,687.86x = 138,084,129.08
  5. Step 5: Solve for x
    x = 138,084,129.08/17,687.86
  6. Step 6: Final answer
    x = 7,806.72

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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.