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Finding the Fourth Proportional to 18,906.34, 28,364.18 and 7,816.20

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Solution

The fourth proportional to 18,906.34, 28,364.18 and 7,816.20 is: 11,726.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,906.34 : 28,364.18 = 7,816.20 : x
  2. Step 2: Convert to fraction form
    18,906.34/28,364.18 = 7,816.20/x
  3. Step 3: Cross multiply
    18,906.34x = 28,364.18 × 7,816.20
  4. Step 4: Simplify right side
    18,906.34x = 221,699,958.27
  5. Step 5: Solve for x
    x = 221,699,958.27/18,906.34
  6. Step 6: Final answer
    x = 11,726.23

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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.