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Finding the Fourth Proportional to 22,563.50, 33,845.25 and 6,147.50

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Solution

The fourth proportional to 22,563.50, 33,845.25 and 6,147.50 is: 9,221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563.50 : 33,845.25 = 6,147.50 : x
  2. Step 2: Convert to fraction form
    22,563.50/33,845.25 = 6,147.50/x
  3. Step 3: Cross multiply
    22,563.50x = 33,845.25 × 6,147.50
  4. Step 4: Simplify right side
    22,563.50x = 208,063,674.38
  5. Step 5: Solve for x
    x = 208,063,674.38/22,563.50
  6. Step 6: Final answer
    x = 9,221.25

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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.