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Finding the Fourth Proportional to 13,472.09, 18,586.36 and 8,164.97

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Solution

The fourth proportional to 13,472.09, 18,586.36 and 8,164.97 is: 11,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,472.09 : 18,586.36 = 8,164.97 : x
  2. Step 2: Convert to fraction form
    13,472.09/18,586.36 = 8,164.97/x
  3. Step 3: Cross multiply
    13,472.09x = 18,586.36 × 8,164.97
  4. Step 4: Simplify right side
    13,472.09x = 151,757,071.81
  5. Step 5: Solve for x
    x = 151,757,071.81/13,472.09
  6. Step 6: Final answer
    x = 11,264.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.