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Finding the Fourth Proportional to 20,001.54, 27,602.01 and 11,049

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Solution

The fourth proportional to 20,001.54, 27,602.01 and 11,049 is: 15,247.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,001.54 : 27,602.01 = 11,049 : x
  2. Step 2: Convert to fraction form
    20,001.54/27,602.01 = 11,049/x
  3. Step 3: Cross multiply
    20,001.54x = 27,602.01 × 11,049
  4. Step 4: Simplify right side
    20,001.54x = 304,974,608.49
  5. Step 5: Solve for x
    x = 304,974,608.49/20,001.54
  6. Step 6: Final answer
    x = 15,247.56

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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.