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Finding the Fourth Proportional to 13,278.48, 19,914.64 and 3,919.14

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Solution

The fourth proportional to 13,278.48, 19,914.64 and 3,919.14 is: 5,877.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,278.48 : 19,914.64 = 3,919.14 : x
  2. Step 2: Convert to fraction form
    13,278.48/19,914.64 = 3,919.14/x
  3. Step 3: Cross multiply
    13,278.48x = 19,914.64 × 3,919.14
  4. Step 4: Simplify right side
    13,278.48x = 78,048,262.21
  5. Step 5: Solve for x
    x = 78,048,262.21/13,278.48
  6. Step 6: Final answer
    x = 5,877.80

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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.