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Finding the Fourth Proportional to 14,196.33, 19,589.18 and 8,227.71

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Solution

The fourth proportional to 14,196.33, 19,589.18 and 8,227.71 is: 11,353.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,196.33 : 19,589.18 = 8,227.71 : x
  2. Step 2: Convert to fraction form
    14,196.33/19,589.18 = 8,227.71/x
  3. Step 3: Cross multiply
    14,196.33x = 19,589.18 × 8,227.71
  4. Step 4: Simplify right side
    14,196.33x = 161,174,051.04
  5. Step 5: Solve for x
    x = 161,174,051.04/14,196.33
  6. Step 6: Final answer
    x = 11,353.22

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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.