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Finding the Fourth Proportional to 12,197.85, 18,302.91 and 4,807.61

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Solution

The fourth proportional to 12,197.85, 18,302.91 and 4,807.61 is: 7,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.85 : 18,302.91 = 4,807.61 : x
  2. Step 2: Convert to fraction form
    12,197.85/18,302.91 = 4,807.61/x
  3. Step 3: Cross multiply
    12,197.85x = 18,302.91 × 4,807.61
  4. Step 4: Simplify right side
    12,197.85x = 87,993,253.15
  5. Step 5: Solve for x
    x = 87,993,253.15/12,197.85
  6. Step 6: Final answer
    x = 7,213.83

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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.