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Finding the Fourth Proportional to 17,640.32, 24,339.84 and 10,184

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Solution

The fourth proportional to 17,640.32, 24,339.84 and 10,184 is: 14,051.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640.32 : 24,339.84 = 10,184 : x
  2. Step 2: Convert to fraction form
    17,640.32/24,339.84 = 10,184/x
  3. Step 3: Cross multiply
    17,640.32x = 24,339.84 × 10,184
  4. Step 4: Simplify right side
    17,640.32x = 247,876,930.56
  5. Step 5: Solve for x
    x = 247,876,930.56/17,640.32
  6. Step 6: Final answer
    x = 14,051.73

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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.