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Finding the Fourth Proportional to 20,097.54, 27,728.96 and 15,835.39

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Solution

The fourth proportional to 20,097.54, 27,728.96 and 15,835.39 is: 21,848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.54 : 27,728.96 = 15,835.39 : x
  2. Step 2: Convert to fraction form
    20,097.54/27,728.96 = 15,835.39/x
  3. Step 3: Cross multiply
    20,097.54x = 27,728.96 × 15,835.39
  4. Step 4: Simplify right side
    20,097.54x = 439,098,747.40
  5. Step 5: Solve for x
    x = 439,098,747.40/20,097.54
  6. Step 6: Final answer
    x = 21,848.38

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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.