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Finding the Fourth Proportional to 12,188.75, 18,281.50 and 4,791.22

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Solution

The fourth proportional to 12,188.75, 18,281.50 and 4,791.22 is: 7,186.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.75 : 18,281.50 = 4,791.22 : x
  2. Step 2: Convert to fraction form
    12,188.75/18,281.50 = 4,791.22/x
  3. Step 3: Cross multiply
    12,188.75x = 18,281.50 × 4,791.22
  4. Step 4: Simplify right side
    12,188.75x = 87,590,630.75
  5. Step 5: Solve for x
    x = 87,590,630.75/12,188.75
  6. Step 6: Final answer
    x = 7,186.19

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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.