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Finding the Fourth Proportional to 13,097.26, 19,645.94 and 6,859.11

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Solution

The fourth proportional to 13,097.26, 19,645.94 and 6,859.11 is: 10,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.26 : 19,645.94 = 6,859.11 : x
  2. Step 2: Convert to fraction form
    13,097.26/19,645.94 = 6,859.11/x
  3. Step 3: Cross multiply
    13,097.26x = 19,645.94 × 6,859.11
  4. Step 4: Simplify right side
    13,097.26x = 134,753,754.33
  5. Step 5: Solve for x
    x = 134,753,754.33/13,097.26
  6. Step 6: Final answer
    x = 10,288.70

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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.