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Finding the Fourth Proportional to 20,645.69, 28,491.35 and 11,214.23

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Solution

The fourth proportional to 20,645.69, 28,491.35 and 11,214.23 is: 15,475.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,645.69 : 28,491.35 = 11,214.23 : x
  2. Step 2: Convert to fraction form
    20,645.69/28,491.35 = 11,214.23/x
  3. Step 3: Cross multiply
    20,645.69x = 28,491.35 × 11,214.23
  4. Step 4: Simplify right side
    20,645.69x = 319,508,353.38
  5. Step 5: Solve for x
    x = 319,508,353.38/20,645.69
  6. Step 6: Final answer
    x = 15,475.79

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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.