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Finding the Fourth Proportional to 22,451.86, 33,682.70 and 6,658.12

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Solution

The fourth proportional to 22,451.86, 33,682.70 and 6,658.12 is: 9,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,451.86 : 33,682.70 = 6,658.12 : x
  2. Step 2: Convert to fraction form
    22,451.86/33,682.70 = 6,658.12/x
  3. Step 3: Cross multiply
    22,451.86x = 33,682.70 × 6,658.12
  4. Step 4: Simplify right side
    22,451.86x = 224,263,458.52
  5. Step 5: Solve for x
    x = 224,263,458.52/22,451.86
  6. Step 6: Final answer
    x = 9,988.64

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