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Finding the Fourth Proportional to 12,237.75, 18,359.06 and 5,217.75

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Solution

The fourth proportional to 12,237.75, 18,359.06 and 5,217.75 is: 7,827.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,237.75 : 18,359.06 = 5,217.75 : x
  2. Step 2: Convert to fraction form
    12,237.75/18,359.06 = 5,217.75/x
  3. Step 3: Cross multiply
    12,237.75x = 18,359.06 × 5,217.75
  4. Step 4: Simplify right side
    12,237.75x = 95,792,959.23
  5. Step 5: Solve for x
    x = 95,792,959.23/12,237.75
  6. Step 6: Final answer
    x = 7,827.66

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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.