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Finding the Fourth Proportional to 20,107.33, 27,749.80 and 11,154.67

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Solution

The fourth proportional to 20,107.33, 27,749.80 and 11,154.67 is: 15,394.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107.33 : 27,749.80 = 11,154.67 : x
  2. Step 2: Convert to fraction form
    20,107.33/27,749.80 = 11,154.67/x
  3. Step 3: Cross multiply
    20,107.33x = 27,749.80 × 11,154.67
  4. Step 4: Simplify right side
    20,107.33x = 309,539,941.31
  5. Step 5: Solve for x
    x = 309,539,941.31/20,107.33
  6. Step 6: Final answer
    x = 15,394.39

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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.