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Finding the Fourth Proportional to 14,816.67, 22,233.74 and 5,463.27

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Solution

The fourth proportional to 14,816.67, 22,233.74 and 5,463.27 is: 8,198.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,816.67 : 22,233.74 = 5,463.27 : x
  2. Step 2: Convert to fraction form
    14,816.67/22,233.74 = 5,463.27/x
  3. Step 3: Cross multiply
    14,816.67x = 22,233.74 × 5,463.27
  4. Step 4: Simplify right side
    14,816.67x = 121,468,897.41
  5. Step 5: Solve for x
    x = 121,468,897.41/14,816.67
  6. Step 6: Final answer
    x = 8,198.12

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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.