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Finding the Fourth Proportional to 15,471.97, 23,187.16 and 8,441.45

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Solution

The fourth proportional to 15,471.97, 23,187.16 and 8,441.45 is: 12,650.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471.97 : 23,187.16 = 8,441.45 : x
  2. Step 2: Convert to fraction form
    15,471.97/23,187.16 = 8,441.45/x
  3. Step 3: Cross multiply
    15,471.97x = 23,187.16 × 8,441.45
  4. Step 4: Simplify right side
    15,471.97x = 195,733,135.85
  5. Step 5: Solve for x
    x = 195,733,135.85/15,471.97
  6. Step 6: Final answer
    x = 12,650.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.