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Finding the Fourth Proportional to 20,866.38, 28,795.62 and 11,434.96

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Solution

The fourth proportional to 20,866.38, 28,795.62 and 11,434.96 is: 15,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,866.38 : 28,795.62 = 11,434.96 : x
  2. Step 2: Convert to fraction form
    20,866.38/28,795.62 = 11,434.96/x
  3. Step 3: Cross multiply
    20,866.38x = 28,795.62 × 11,434.96
  4. Step 4: Simplify right side
    20,866.38x = 329,276,762.88
  5. Step 5: Solve for x
    x = 329,276,762.88/20,866.38
  6. Step 6: Final answer
    x = 15,780.25

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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.