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Finding the Fourth Proportional to 20,348.70, 28,077.96 and 11,396.58

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Solution

The fourth proportional to 20,348.70, 28,077.96 and 11,396.58 is: 15,725.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,348.70 : 28,077.96 = 11,396.58 : x
  2. Step 2: Convert to fraction form
    20,348.70/28,077.96 = 11,396.58/x
  3. Step 3: Cross multiply
    20,348.70x = 28,077.96 × 11,396.58
  4. Step 4: Simplify right side
    20,348.70x = 319,992,717.38
  5. Step 5: Solve for x
    x = 319,992,717.38/20,348.70
  6. Step 6: Final answer
    x = 15,725.46

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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.