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Finding the Fourth Proportional to 20,206.74, 30,254.22 and 10,324.74

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Solution

The fourth proportional to 20,206.74, 30,254.22 and 10,324.74 is: 15,458.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206.74 : 30,254.22 = 10,324.74 : x
  2. Step 2: Convert to fraction form
    20,206.74/30,254.22 = 10,324.74/x
  3. Step 3: Cross multiply
    20,206.74x = 30,254.22 × 10,324.74
  4. Step 4: Simplify right side
    20,206.74x = 312,366,955.40
  5. Step 5: Solve for x
    x = 312,366,955.40/20,206.74
  6. Step 6: Final answer
    x = 15,458.55

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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.