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Finding the Fourth Proportional to 17,509.14, 26,251.41 and 6,414.39

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Solution

The fourth proportional to 17,509.14, 26,251.41 and 6,414.39 is: 9,617.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.14 : 26,251.41 = 6,414.39 : x
  2. Step 2: Convert to fraction form
    17,509.14/26,251.41 = 6,414.39/x
  3. Step 3: Cross multiply
    17,509.14x = 26,251.41 × 6,414.39
  4. Step 4: Simplify right side
    17,509.14x = 168,386,781.79
  5. Step 5: Solve for x
    x = 168,386,781.79/17,509.14
  6. Step 6: Final answer
    x = 9,617.08

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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.