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Finding the Fourth Proportional to 14,711.40, 20,297.52 and 8,422.56

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Solution

The fourth proportional to 14,711.40, 20,297.52 and 8,422.56 is: 11,620.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.40 : 20,297.52 = 8,422.56 : x
  2. Step 2: Convert to fraction form
    14,711.40/20,297.52 = 8,422.56/x
  3. Step 3: Cross multiply
    14,711.40x = 20,297.52 × 8,422.56
  4. Step 4: Simplify right side
    14,711.40x = 170,957,080.05
  5. Step 5: Solve for x
    x = 170,957,080.05/14,711.40
  6. Step 6: Final answer
    x = 11,620.72

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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.