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Finding the Fourth Proportional to 12,242.68, 16,768.30 and 11,524.58

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Solution

The fourth proportional to 12,242.68, 16,768.30 and 11,524.58 is: 15,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.68 : 16,768.30 = 11,524.58 : x
  2. Step 2: Convert to fraction form
    12,242.68/16,768.30 = 11,524.58/x
  3. Step 3: Cross multiply
    12,242.68x = 16,768.30 × 11,524.58
  4. Step 4: Simplify right side
    12,242.68x = 193,247,614.81
  5. Step 5: Solve for x
    x = 193,247,614.81/12,242.68
  6. Step 6: Final answer
    x = 15,784.75

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.