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Finding the Fourth Proportional to 12,188.80, 18,284.82 and 5,616.46

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Solution

The fourth proportional to 12,188.80, 18,284.82 and 5,616.46 is: 8,425.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.80 : 18,284.82 = 5,616.46 : x
  2. Step 2: Convert to fraction form
    12,188.80/18,284.82 = 5,616.46/x
  3. Step 3: Cross multiply
    12,188.80x = 18,284.82 × 5,616.46
  4. Step 4: Simplify right side
    12,188.80x = 102,695,960.14
  5. Step 5: Solve for x
    x = 102,695,960.14/12,188.80
  6. Step 6: Final answer
    x = 8,425.44

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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.