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Finding the Fourth Proportional to 16,286.40, 24,400.80 and 14,443.20

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Solution

The fourth proportional to 16,286.40, 24,400.80 and 14,443.20 is: 21,639.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.40 : 24,400.80 = 14,443.20 : x
  2. Step 2: Convert to fraction form
    16,286.40/24,400.80 = 14,443.20/x
  3. Step 3: Cross multiply
    16,286.40x = 24,400.80 × 14,443.20
  4. Step 4: Simplify right side
    16,286.40x = 352,425,634.56
  5. Step 5: Solve for x
    x = 352,425,634.56/16,286.40
  6. Step 6: Final answer
    x = 21,639.26

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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.