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Finding the Fourth Proportional to 17,785.39, 26,678.08 and 6,098.71

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Solution

The fourth proportional to 17,785.39, 26,678.08 and 6,098.71 is: 9,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.39 : 26,678.08 = 6,098.71 : x
  2. Step 2: Convert to fraction form
    17,785.39/26,678.08 = 6,098.71/x
  3. Step 3: Cross multiply
    17,785.39x = 26,678.08 × 6,098.71
  4. Step 4: Simplify right side
    17,785.39x = 162,701,873.28
  5. Step 5: Solve for x
    x = 162,701,873.28/17,785.39
  6. Step 6: Final answer
    x = 9,148.06

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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.