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Finding the Fourth Proportional to 20,347.78, 28,079.67 and 11,395.21

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Solution

The fourth proportional to 20,347.78, 28,079.67 and 11,395.21 is: 15,725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,347.78 : 28,079.67 = 11,395.21 : x
  2. Step 2: Convert to fraction form
    20,347.78/28,079.67 = 11,395.21/x
  3. Step 3: Cross multiply
    20,347.78x = 28,079.67 × 11,395.21
  4. Step 4: Simplify right side
    20,347.78x = 319,973,736.38
  5. Step 5: Solve for x
    x = 319,973,736.38/20,347.78
  6. Step 6: Final answer
    x = 15,725.24

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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.