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Finding the Fourth Proportional to 11,708.52, 16,149.60 and 11,322.84

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Solution

The fourth proportional to 11,708.52, 16,149.60 and 11,322.84 is: 15,617.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.52 : 16,149.60 = 11,322.84 : x
  2. Step 2: Convert to fraction form
    11,708.52/16,149.60 = 11,322.84/x
  3. Step 3: Cross multiply
    11,708.52x = 16,149.60 × 11,322.84
  4. Step 4: Simplify right side
    11,708.52x = 182,859,336.86
  5. Step 5: Solve for x
    x = 182,859,336.86/11,708.52
  6. Step 6: Final answer
    x = 15,617.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.