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Finding the Fourth Proportional to 12,878.28, 19,320.78 and 3,644.28

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Solution

The fourth proportional to 12,878.28, 19,320.78 and 3,644.28 is: 5,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.28 : 19,320.78 = 3,644.28 : x
  2. Step 2: Convert to fraction form
    12,878.28/19,320.78 = 3,644.28/x
  3. Step 3: Cross multiply
    12,878.28x = 19,320.78 × 3,644.28
  4. Step 4: Simplify right side
    12,878.28x = 70,410,332.14
  5. Step 5: Solve for x
    x = 70,410,332.14/12,878.28
  6. Step 6: Final answer
    x = 5,467.37

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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.