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Finding the Fourth Proportional to 17,677.47, 26,509.71 and 5,194.29

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Solution

The fourth proportional to 17,677.47, 26,509.71 and 5,194.29 is: 7,789.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677.47 : 26,509.71 = 5,194.29 : x
  2. Step 2: Convert to fraction form
    17,677.47/26,509.71 = 5,194.29/x
  3. Step 3: Cross multiply
    17,677.47x = 26,509.71 × 5,194.29
  4. Step 4: Simplify right side
    17,677.47x = 137,699,121.56
  5. Step 5: Solve for x
    x = 137,699,121.56/17,677.47
  6. Step 6: Final answer
    x = 7,789.53

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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.