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Finding the Fourth Proportional to 20,107.69, 27,749.35 and 12,148.38

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Solution

The fourth proportional to 20,107.69, 27,749.35 and 12,148.38 is: 16,765.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107.69 : 27,749.35 = 12,148.38 : x
  2. Step 2: Convert to fraction form
    20,107.69/27,749.35 = 12,148.38/x
  3. Step 3: Cross multiply
    20,107.69x = 27,749.35 × 12,148.38
  4. Step 4: Simplify right side
    20,107.69x = 337,109,509.81
  5. Step 5: Solve for x
    x = 337,109,509.81/20,107.69
  6. Step 6: Final answer
    x = 16,765.21

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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.