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Finding the Fourth Proportional to 18,917.50, 28,373.71 and 7,822.66

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Solution

The fourth proportional to 18,917.50, 28,373.71 and 7,822.66 is: 11,732.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,917.50 : 28,373.71 = 7,822.66 : x
  2. Step 2: Convert to fraction form
    18,917.50/28,373.71 = 7,822.66/x
  3. Step 3: Cross multiply
    18,917.50x = 28,373.71 × 7,822.66
  4. Step 4: Simplify right side
    18,917.50x = 221,957,847.16
  5. Step 5: Solve for x
    x = 221,957,847.16/18,917.50
  6. Step 6: Final answer
    x = 11,732.94

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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.