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Finding the Fourth Proportional to 23,716.96, 35,580.48 and 8,135.84

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Solution

The fourth proportional to 23,716.96, 35,580.48 and 8,135.84 is: 12,205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,716.96 : 35,580.48 = 8,135.84 : x
  2. Step 2: Convert to fraction form
    23,716.96/35,580.48 = 8,135.84/x
  3. Step 3: Cross multiply
    23,716.96x = 35,580.48 × 8,135.84
  4. Step 4: Simplify right side
    23,716.96x = 289,477,092.40
  5. Step 5: Solve for x
    x = 289,477,092.40/23,716.96
  6. Step 6: Final answer
    x = 12,205.49

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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.