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Finding the Fourth Proportional to 13,181.85, 19,772.78 and 5,388.84

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Solution

The fourth proportional to 13,181.85, 19,772.78 and 5,388.84 is: 8,083.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181.85 : 19,772.78 = 5,388.84 : x
  2. Step 2: Convert to fraction form
    13,181.85/19,772.78 = 5,388.84/x
  3. Step 3: Cross multiply
    13,181.85x = 19,772.78 × 5,388.84
  4. Step 4: Simplify right side
    13,181.85x = 106,552,320.83
  5. Step 5: Solve for x
    x = 106,552,320.83/13,181.85
  6. Step 6: Final answer
    x = 8,083.26

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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.