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Finding the Fourth Proportional to 12,853.39, 19,282.28 and 4,419.49

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Solution

The fourth proportional to 12,853.39, 19,282.28 and 4,419.49 is: 6,629.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.39 : 19,282.28 = 4,419.49 : x
  2. Step 2: Convert to fraction form
    12,853.39/19,282.28 = 4,419.49/x
  3. Step 3: Cross multiply
    12,853.39x = 19,282.28 × 4,419.49
  4. Step 4: Simplify right side
    12,853.39x = 85,217,843.64
  5. Step 5: Solve for x
    x = 85,217,843.64/12,853.39
  6. Step 6: Final answer
    x = 6,629.99

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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.