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Finding the Fourth Proportional to 13,278.90, 19,921.77 and 3,918.54

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Solution

The fourth proportional to 13,278.90, 19,921.77 and 3,918.54 is: 5,878.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,278.90 : 19,921.77 = 3,918.54 : x
  2. Step 2: Convert to fraction form
    13,278.90/19,921.77 = 3,918.54/x
  3. Step 3: Cross multiply
    13,278.90x = 19,921.77 × 3,918.54
  4. Step 4: Simplify right side
    13,278.90x = 78,064,252.62
  5. Step 5: Solve for x
    x = 78,064,252.62/13,278.90
  6. Step 6: Final answer
    x = 5,878.82

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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.