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Finding the Fourth Proportional to 14,662.23, 20,233.74 and 8,288.70

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Solution

The fourth proportional to 14,662.23, 20,233.74 and 8,288.70 is: 11,438.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,662.23 : 20,233.74 = 8,288.70 : x
  2. Step 2: Convert to fraction form
    14,662.23/20,233.74 = 8,288.70/x
  3. Step 3: Cross multiply
    14,662.23x = 20,233.74 × 8,288.70
  4. Step 4: Simplify right side
    14,662.23x = 167,711,468.39
  5. Step 5: Solve for x
    x = 167,711,468.39/14,662.23
  6. Step 6: Final answer
    x = 11,438.33

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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.