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Finding the Fourth Proportional to 20,184.80, 30,249.12 and 7,691.84

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Solution

The fourth proportional to 20,184.80, 30,249.12 and 7,691.84 is: 11,527.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,184.80 : 30,249.12 = 7,691.84 : x
  2. Step 2: Convert to fraction form
    20,184.80/30,249.12 = 7,691.84/x
  3. Step 3: Cross multiply
    20,184.80x = 30,249.12 × 7,691.84
  4. Step 4: Simplify right side
    20,184.80x = 232,671,391.18
  5. Step 5: Solve for x
    x = 232,671,391.18/20,184.80
  6. Step 6: Final answer
    x = 11,527.06

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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.