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Finding the Fourth Proportional to 20,211.49, 27,890.16 and 11,261.11

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Solution

The fourth proportional to 20,211.49, 27,890.16 and 11,261.11 is: 15,539.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,211.49 : 27,890.16 = 11,261.11 : x
  2. Step 2: Convert to fraction form
    20,211.49/27,890.16 = 11,261.11/x
  3. Step 3: Cross multiply
    20,211.49x = 27,890.16 × 11,261.11
  4. Step 4: Simplify right side
    20,211.49x = 314,074,159.68
  5. Step 5: Solve for x
    x = 314,074,159.68/20,211.49
  6. Step 6: Final answer
    x = 15,539.39

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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.