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Finding the Fourth Proportional to 24,342.12, 36,513.24 and 6,811.92

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Solution

The fourth proportional to 24,342.12, 36,513.24 and 6,811.92 is: 10,217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,342.12 : 36,513.24 = 6,811.92 : x
  2. Step 2: Convert to fraction form
    24,342.12/36,513.24 = 6,811.92/x
  3. Step 3: Cross multiply
    24,342.12x = 36,513.24 × 6,811.92
  4. Step 4: Simplify right side
    24,342.12x = 248,725,269.82
  5. Step 5: Solve for x
    x = 248,725,269.82/24,342.12
  6. Step 6: Final answer
    x = 10,217.90

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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.