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Finding the Fourth Proportional to 22,886.46, 34,329.80 and 8,095.39

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Solution

The fourth proportional to 22,886.46, 34,329.80 and 8,095.39 is: 12,143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,886.46 : 34,329.80 = 8,095.39 : x
  2. Step 2: Convert to fraction form
    22,886.46/34,329.80 = 8,095.39/x
  3. Step 3: Cross multiply
    22,886.46x = 34,329.80 × 8,095.39
  4. Step 4: Simplify right side
    22,886.46x = 277,913,119.62
  5. Step 5: Solve for x
    x = 277,913,119.62/22,886.46
  6. Step 6: Final answer
    x = 12,143.12

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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.