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Finding the Fourth Proportional to 22,049.78, 30,431.31 and 13,097.32

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Solution

The fourth proportional to 22,049.78, 30,431.31 and 13,097.32 is: 18,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,049.78 : 30,431.31 = 13,097.32 : x
  2. Step 2: Convert to fraction form
    22,049.78/30,431.31 = 13,097.32/x
  3. Step 3: Cross multiply
    22,049.78x = 30,431.31 × 13,097.32
  4. Step 4: Simplify right side
    22,049.78x = 398,568,583.90
  5. Step 5: Solve for x
    x = 398,568,583.90/22,049.78
  6. Step 6: Final answer
    x = 18,075.85

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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.