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Finding the Fourth Proportional to 20,282.71, 30,424.04 and 14,771.11

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Solution

The fourth proportional to 20,282.71, 30,424.04 and 14,771.11 is: 22,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,282.71 : 30,424.04 = 14,771.11 : x
  2. Step 2: Convert to fraction form
    20,282.71/30,424.04 = 14,771.11/x
  3. Step 3: Cross multiply
    20,282.71x = 30,424.04 × 14,771.11
  4. Step 4: Simplify right side
    20,282.71x = 449,396,841.48
  5. Step 5: Solve for x
    x = 449,396,841.48/20,282.71
  6. Step 6: Final answer
    x = 22,156.65

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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.