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Finding the Fourth Proportional to 20,422.87, 28,182.16 and 11,471.20

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Solution

The fourth proportional to 20,422.87, 28,182.16 and 11,471.20 is: 15,829.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,422.87 : 28,182.16 = 11,471.20 : x
  2. Step 2: Convert to fraction form
    20,422.87/28,182.16 = 11,471.20/x
  3. Step 3: Cross multiply
    20,422.87x = 28,182.16 × 11,471.20
  4. Step 4: Simplify right side
    20,422.87x = 323,283,137.68
  5. Step 5: Solve for x
    x = 323,283,137.68/20,422.87
  6. Step 6: Final answer
    x = 15,829.47

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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.