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Finding the Fourth Proportional to 22,049.85, 30,427.92 and 13,097.12

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Solution

The fourth proportional to 22,049.85, 30,427.92 and 13,097.12 is: 18,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,049.85 : 30,427.92 = 13,097.12 : x
  2. Step 2: Convert to fraction form
    22,049.85/30,427.92 = 13,097.12/x
  3. Step 3: Cross multiply
    22,049.85x = 30,427.92 × 13,097.12
  4. Step 4: Simplify right side
    22,049.85x = 398,517,967.45
  5. Step 5: Solve for x
    x = 398,517,967.45/22,049.85
  6. Step 6: Final answer
    x = 18,073.50

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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.