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Finding the Fourth Proportional to 12,865.74, 19,286.28 and 4,094.94

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Solution

The fourth proportional to 12,865.74, 19,286.28 and 4,094.94 is: 6,138.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865.74 : 19,286.28 = 4,094.94 : x
  2. Step 2: Convert to fraction form
    12,865.74/19,286.28 = 4,094.94/x
  3. Step 3: Cross multiply
    12,865.74x = 19,286.28 × 4,094.94
  4. Step 4: Simplify right side
    12,865.74x = 78,976,159.42
  5. Step 5: Solve for x
    x = 78,976,159.42/12,865.74
  6. Step 6: Final answer
    x = 6,138.49

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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.