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Finding the Fourth Proportional to 13,182.78, 19,775.22 and 3,822.96

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Solution

The fourth proportional to 13,182.78, 19,775.22 and 3,822.96 is: 5,734.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.78 : 19,775.22 = 3,822.96 : x
  2. Step 2: Convert to fraction form
    13,182.78/19,775.22 = 3,822.96/x
  3. Step 3: Cross multiply
    13,182.78x = 19,775.22 × 3,822.96
  4. Step 4: Simplify right side
    13,182.78x = 75,599,875.05
  5. Step 5: Solve for x
    x = 75,599,875.05/13,182.78
  6. Step 6: Final answer
    x = 5,734.74

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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.