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Finding the Fourth Proportional to 12,188.45, 18,284.61 and 4,691.75

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Solution

The fourth proportional to 12,188.45, 18,284.61 and 4,691.75 is: 7,038.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.45 : 18,284.61 = 4,691.75 : x
  2. Step 2: Convert to fraction form
    12,188.45/18,284.61 = 4,691.75/x
  3. Step 3: Cross multiply
    12,188.45x = 18,284.61 × 4,691.75
  4. Step 4: Simplify right side
    12,188.45x = 85,786,727.54
  5. Step 5: Solve for x
    x = 85,786,727.54/12,188.45
  6. Step 6: Final answer
    x = 7,038.36

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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.