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Finding the Fourth Proportional to 13,278.74, 19,914.91 and 3,916.21

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Solution

The fourth proportional to 13,278.74, 19,914.91 and 3,916.21 is: 5,873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,278.74 : 19,914.91 = 3,916.21 : x
  2. Step 2: Convert to fraction form
    13,278.74/19,914.91 = 3,916.21/x
  3. Step 3: Cross multiply
    13,278.74x = 19,914.91 × 3,916.21
  4. Step 4: Simplify right side
    13,278.74x = 77,990,997.49
  5. Step 5: Solve for x
    x = 77,990,997.49/13,278.74
  6. Step 6: Final answer
    x = 5,873.38

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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.