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Finding the Fourth Proportional to 14,456.96, 19,942.08 and 8,864

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Solution

The fourth proportional to 14,456.96, 19,942.08 and 8,864 is: 12,227.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.96 : 19,942.08 = 8,864 : x
  2. Step 2: Convert to fraction form
    14,456.96/19,942.08 = 8,864/x
  3. Step 3: Cross multiply
    14,456.96x = 19,942.08 × 8,864
  4. Step 4: Simplify right side
    14,456.96x = 176,766,597.12
  5. Step 5: Solve for x
    x = 176,766,597.12/14,456.96
  6. Step 6: Final answer
    x = 12,227.09

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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.