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Finding the Fourth Proportional to 20,923.26, 28,875.87 and 11,493.78

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Solution

The fourth proportional to 20,923.26, 28,875.87 and 11,493.78 is: 15,862.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,923.26 : 28,875.87 = 11,493.78 : x
  2. Step 2: Convert to fraction form
    20,923.26/28,875.87 = 11,493.78/x
  3. Step 3: Cross multiply
    20,923.26x = 28,875.87 × 11,493.78
  4. Step 4: Simplify right side
    20,923.26x = 331,892,897.09
  5. Step 5: Solve for x
    x = 331,892,897.09/20,923.26
  6. Step 6: Final answer
    x = 15,862.39

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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.