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Finding the Fourth Proportional to 17,785.38, 26,682.12 and 6,097.89

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Solution

The fourth proportional to 17,785.38, 26,682.12 and 6,097.89 is: 9,148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.38 : 26,682.12 = 6,097.89 : x
  2. Step 2: Convert to fraction form
    17,785.38/26,682.12 = 6,097.89/x
  3. Step 3: Cross multiply
    17,785.38x = 26,682.12 × 6,097.89
  4. Step 4: Simplify right side
    17,785.38x = 162,704,632.73
  5. Step 5: Solve for x
    x = 162,704,632.73/17,785.38
  6. Step 6: Final answer
    x = 9,148.22

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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.