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Finding the Fourth Proportional to 11,846.87, 17,726.46 and 9,499.70

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Solution

The fourth proportional to 11,846.87, 17,726.46 and 9,499.70 is: 14,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.87 : 17,726.46 = 9,499.70 : x
  2. Step 2: Convert to fraction form
    11,846.87/17,726.46 = 9,499.70/x
  3. Step 3: Cross multiply
    11,846.87x = 17,726.46 × 9,499.70
  4. Step 4: Simplify right side
    11,846.87x = 168,396,052.06
  5. Step 5: Solve for x
    x = 168,396,052.06/11,846.87
  6. Step 6: Final answer
    x = 14,214.39

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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.