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Finding the Fourth Proportional to 13,494.33, 20,242.95 and 5,181.39

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Solution

The fourth proportional to 13,494.33, 20,242.95 and 5,181.39 is: 7,772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.33 : 20,242.95 = 5,181.39 : x
  2. Step 2: Convert to fraction form
    13,494.33/20,242.95 = 5,181.39/x
  3. Step 3: Cross multiply
    13,494.33x = 20,242.95 × 5,181.39
  4. Step 4: Simplify right side
    13,494.33x = 104,886,618.70
  5. Step 5: Solve for x
    x = 104,886,618.70/13,494.33
  6. Step 6: Final answer
    x = 7,772.64

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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.