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Finding the Fourth Proportional to 13,182.37, 19,772.97 and 3,822.18

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Solution

The fourth proportional to 13,182.37, 19,772.97 and 3,822.18 is: 5,733.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.37 : 19,772.97 = 3,822.18 : x
  2. Step 2: Convert to fraction form
    13,182.37/19,772.97 = 3,822.18/x
  3. Step 3: Cross multiply
    13,182.37x = 19,772.97 × 3,822.18
  4. Step 4: Simplify right side
    13,182.37x = 75,575,850.47
  5. Step 5: Solve for x
    x = 75,575,850.47/13,182.37
  6. Step 6: Final answer
    x = 5,733.10

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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.