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Finding the Fourth Proportional to 22,886.21, 34,329.43 and 8,095.14

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Solution

The fourth proportional to 22,886.21, 34,329.43 and 8,095.14 is: 12,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,886.21 : 34,329.43 = 8,095.14 : x
  2. Step 2: Convert to fraction form
    22,886.21/34,329.43 = 8,095.14/x
  3. Step 3: Cross multiply
    22,886.21x = 34,329.43 × 8,095.14
  4. Step 4: Simplify right side
    22,886.21x = 277,901,521.73
  5. Step 5: Solve for x
    x = 277,901,521.73/22,886.21
  6. Step 6: Final answer
    x = 12,142.75

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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.