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Finding the Fourth Proportional to 15,205.93, 22,811.73 and 5,845.57

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Solution

The fourth proportional to 15,205.93, 22,811.73 and 5,845.57 is: 8,769.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.93 : 22,811.73 = 5,845.57 : x
  2. Step 2: Convert to fraction form
    15,205.93/22,811.73 = 5,845.57/x
  3. Step 3: Cross multiply
    15,205.93x = 22,811.73 × 5,845.57
  4. Step 4: Simplify right side
    15,205.93x = 133,347,564.54
  5. Step 5: Solve for x
    x = 133,347,564.54/15,205.93
  6. Step 6: Final answer
    x = 8,769.44

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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.