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Finding the Fourth Proportional to 22,256.38, 30,714.17 and 12,184.65

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Solution

The fourth proportional to 22,256.38, 30,714.17 and 12,184.65 is: 16,815.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,256.38 : 30,714.17 = 12,184.65 : x
  2. Step 2: Convert to fraction form
    22,256.38/30,714.17 = 12,184.65/x
  3. Step 3: Cross multiply
    22,256.38x = 30,714.17 × 12,184.65
  4. Step 4: Simplify right side
    22,256.38x = 374,241,350.57
  5. Step 5: Solve for x
    x = 374,241,350.57/22,256.38
  6. Step 6: Final answer
    x = 16,815.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.