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Finding the Fourth Proportional to 17,677.65, 26,516.46 and 5,197.78

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Solution

The fourth proportional to 17,677.65, 26,516.46 and 5,197.78 is: 7,796.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677.65 : 26,516.46 = 5,197.78 : x
  2. Step 2: Convert to fraction form
    17,677.65/26,516.46 = 5,197.78/x
  3. Step 3: Cross multiply
    17,677.65x = 26,516.46 × 5,197.78
  4. Step 4: Simplify right side
    17,677.65x = 137,826,609.45
  5. Step 5: Solve for x
    x = 137,826,609.45/17,677.65
  6. Step 6: Final answer
    x = 7,796.66

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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.