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Finding the Fourth Proportional to 20,206.74, 30,282.02 and 17,568.84

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Solution

The fourth proportional to 20,206.74, 30,282.02 and 17,568.84 is: 26,328.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206.74 : 30,282.02 = 17,568.84 : x
  2. Step 2: Convert to fraction form
    20,206.74/30,282.02 = 17,568.84/x
  3. Step 3: Cross multiply
    20,206.74x = 30,282.02 × 17,568.84
  4. Step 4: Simplify right side
    20,206.74x = 532,019,964.26
  5. Step 5: Solve for x
    x = 532,019,964.26/20,206.74
  6. Step 6: Final answer
    x = 26,328.84

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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.