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Finding the Fourth Proportional to 12,843.18, 17,719.83 and 7,538.22

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Solution

The fourth proportional to 12,843.18, 17,719.83 and 7,538.22 is: 10,400.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.18 : 17,719.83 = 7,538.22 : x
  2. Step 2: Convert to fraction form
    12,843.18/17,719.83 = 7,538.22/x
  3. Step 3: Cross multiply
    12,843.18x = 17,719.83 × 7,538.22
  4. Step 4: Simplify right side
    12,843.18x = 133,575,976.90
  5. Step 5: Solve for x
    x = 133,575,976.90/12,843.18
  6. Step 6: Final answer
    x = 10,400.54

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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.