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Finding the Fourth Proportional to 14,657.44, 20,228.34 and 8,369.68

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Solution

The fourth proportional to 14,657.44, 20,228.34 and 8,369.68 is: 11,550.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.44 : 20,228.34 = 8,369.68 : x
  2. Step 2: Convert to fraction form
    14,657.44/20,228.34 = 8,369.68/x
  3. Step 3: Cross multiply
    14,657.44x = 20,228.34 × 8,369.68
  4. Step 4: Simplify right side
    14,657.44x = 169,304,732.73
  5. Step 5: Solve for x
    x = 169,304,732.73/14,657.44
  6. Step 6: Final answer
    x = 11,550.77

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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.