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Finding the Fourth Proportional to 20,212.47, 27,889.52 and 11,259.74

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Solution

The fourth proportional to 20,212.47, 27,889.52 and 11,259.74 is: 15,536.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,212.47 : 27,889.52 = 11,259.74 : x
  2. Step 2: Convert to fraction form
    20,212.47/27,889.52 = 11,259.74/x
  3. Step 3: Cross multiply
    20,212.47x = 27,889.52 × 11,259.74
  4. Step 4: Simplify right side
    20,212.47x = 314,028,757.35
  5. Step 5: Solve for x
    x = 314,028,757.35/20,212.47
  6. Step 6: Final answer
    x = 15,536.39

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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.