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Finding the Fourth Proportional to 18,922.16, 28,381.62 and 7,821.92

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Solution

The fourth proportional to 18,922.16, 28,381.62 and 7,821.92 is: 11,732.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,922.16 : 28,381.62 = 7,821.92 : x
  2. Step 2: Convert to fraction form
    18,922.16/28,381.62 = 7,821.92/x
  3. Step 3: Cross multiply
    18,922.16x = 28,381.62 × 7,821.92
  4. Step 4: Simplify right side
    18,922.16x = 221,998,761.11
  5. Step 5: Solve for x
    x = 221,998,761.11/18,922.16
  6. Step 6: Final answer
    x = 11,732.21

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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.