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Finding the Fourth Proportional to 27,106.71, 40,663.97 and 8,388.23

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Solution

The fourth proportional to 27,106.71, 40,663.97 and 8,388.23 is: 12,583.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,106.71 : 40,663.97 = 8,388.23 : x
  2. Step 2: Convert to fraction form
    27,106.71/40,663.97 = 8,388.23/x
  3. Step 3: Cross multiply
    27,106.71x = 40,663.97 × 8,388.23
  4. Step 4: Simplify right side
    27,106.71x = 341,098,487.81
  5. Step 5: Solve for x
    x = 341,098,487.81/27,106.71
  6. Step 6: Final answer
    x = 12,583.54

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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.