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Finding the Fourth Proportional to 22,871.93, 34,311.17 and 7,078.28

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Solution

The fourth proportional to 22,871.93, 34,311.17 and 7,078.28 is: 10,618.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,871.93 : 34,311.17 = 7,078.28 : x
  2. Step 2: Convert to fraction form
    22,871.93/34,311.17 = 7,078.28/x
  3. Step 3: Cross multiply
    22,871.93x = 34,311.17 × 7,078.28
  4. Step 4: Simplify right side
    22,871.93x = 242,863,914.53
  5. Step 5: Solve for x
    x = 242,863,914.53/22,871.93
  6. Step 6: Final answer
    x = 10,618.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.