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Finding the Fourth Proportional to 20,530.38, 28,339.59 and 15,984.06

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Solution

The fourth proportional to 20,530.38, 28,339.59 and 15,984.06 is: 22,063.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,530.38 : 28,339.59 = 15,984.06 : x
  2. Step 2: Convert to fraction form
    20,530.38/28,339.59 = 15,984.06/x
  3. Step 3: Cross multiply
    20,530.38x = 28,339.59 × 15,984.06
  4. Step 4: Simplify right side
    20,530.38x = 452,981,706.94
  5. Step 5: Solve for x
    x = 452,981,706.94/20,530.38
  6. Step 6: Final answer
    x = 22,063.97

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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.