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Finding the Fourth Proportional to 13,821.57, 19,067.70 and 9,343.69

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Solution

The fourth proportional to 13,821.57, 19,067.70 and 9,343.69 is: 12,890.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.57 : 19,067.70 = 9,343.69 : x
  2. Step 2: Convert to fraction form
    13,821.57/19,067.70 = 9,343.69/x
  3. Step 3: Cross multiply
    13,821.57x = 19,067.70 × 9,343.69
  4. Step 4: Simplify right side
    13,821.57x = 178,162,665.18
  5. Step 5: Solve for x
    x = 178,162,665.18/13,821.57
  6. Step 6: Final answer
    x = 12,890.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.