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Finding the Fourth Proportional to 12,258.67, 18,384.90 and 5,234.80

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Solution

The fourth proportional to 12,258.67, 18,384.90 and 5,234.80 is: 7,850.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,258.67 : 18,384.90 = 5,234.80 : x
  2. Step 2: Convert to fraction form
    12,258.67/18,384.90 = 5,234.80/x
  3. Step 3: Cross multiply
    12,258.67x = 18,384.90 × 5,234.80
  4. Step 4: Simplify right side
    12,258.67x = 96,241,274.52
  5. Step 5: Solve for x
    x = 96,241,274.52/12,258.67
  6. Step 6: Final answer
    x = 7,850.87

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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.