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Finding the Fourth Proportional to 20,823.78, 28,737.54 and 11,393.22

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Solution

The fourth proportional to 20,823.78, 28,737.54 and 11,393.22 is: 15,723.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,823.78 : 28,737.54 = 11,393.22 : x
  2. Step 2: Convert to fraction form
    20,823.78/28,737.54 = 11,393.22/x
  3. Step 3: Cross multiply
    20,823.78x = 28,737.54 × 11,393.22
  4. Step 4: Simplify right side
    20,823.78x = 327,413,115.48
  5. Step 5: Solve for x
    x = 327,413,115.48/20,823.78
  6. Step 6: Final answer
    x = 15,723.04

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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.