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Finding the Fourth Proportional to 20,922.27, 28,872.76 and 11,362.16

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Solution

The fourth proportional to 20,922.27, 28,872.76 and 11,362.16 is: 15,679.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,922.27 : 28,872.76 = 11,362.16 : x
  2. Step 2: Convert to fraction form
    20,922.27/28,872.76 = 11,362.16/x
  3. Step 3: Cross multiply
    20,922.27x = 28,872.76 × 11,362.16
  4. Step 4: Simplify right side
    20,922.27x = 328,056,962.54
  5. Step 5: Solve for x
    x = 328,056,962.54/20,922.27
  6. Step 6: Final answer
    x = 15,679.80

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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.