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Finding the Fourth Proportional to 20,468.44, 30,677.10 and 8,768.08

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Solution

The fourth proportional to 20,468.44, 30,677.10 and 8,768.08 is: 13,141.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,468.44 : 30,677.10 = 8,768.08 : x
  2. Step 2: Convert to fraction form
    20,468.44/30,677.10 = 8,768.08/x
  3. Step 3: Cross multiply
    20,468.44x = 30,677.10 × 8,768.08
  4. Step 4: Simplify right side
    20,468.44x = 268,979,266.97
  5. Step 5: Solve for x
    x = 268,979,266.97/20,468.44
  6. Step 6: Final answer
    x = 13,141.17

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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.