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Finding the Fourth Proportional to 12,384.67, 18,583.38 and 8,227.54

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Solution

The fourth proportional to 12,384.67, 18,583.38 and 8,227.54 is: 12,345.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.67 : 18,583.38 = 8,227.54 : x
  2. Step 2: Convert to fraction form
    12,384.67/18,583.38 = 8,227.54/x
  3. Step 3: Cross multiply
    12,384.67x = 18,583.38 × 8,227.54
  4. Step 4: Simplify right side
    12,384.67x = 152,895,502.29
  5. Step 5: Solve for x
    x = 152,895,502.29/12,384.67
  6. Step 6: Final answer
    x = 12,345.55

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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.