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Finding the Fourth Proportional to 15,107.15, 20,847.39 and 8,301.15

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Solution

The fourth proportional to 15,107.15, 20,847.39 and 8,301.15 is: 11,455.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,107.15 : 20,847.39 = 8,301.15 : x
  2. Step 2: Convert to fraction form
    15,107.15/20,847.39 = 8,301.15/x
  3. Step 3: Cross multiply
    15,107.15x = 20,847.39 × 8,301.15
  4. Step 4: Simplify right side
    15,107.15x = 173,057,311.50
  5. Step 5: Solve for x
    x = 173,057,311.50/15,107.15
  6. Step 6: Final answer
    x = 11,455.33

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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.