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Finding the Fourth Proportional to 12,855.84, 19,286.28 and 4,089.12

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Solution

The fourth proportional to 12,855.84, 19,286.28 and 4,089.12 is: 6,134.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.84 : 19,286.28 = 4,089.12 : x
  2. Step 2: Convert to fraction form
    12,855.84/19,286.28 = 4,089.12/x
  3. Step 3: Cross multiply
    12,855.84x = 19,286.28 × 4,089.12
  4. Step 4: Simplify right side
    12,855.84x = 78,863,913.27
  5. Step 5: Solve for x
    x = 78,863,913.27/12,855.84
  6. Step 6: Final answer
    x = 6,134.48

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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.