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Finding the Fourth Proportional to 24,841.12, 37,263.42 and 8,212.86

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Solution

The fourth proportional to 24,841.12, 37,263.42 and 8,212.86 is: 12,319.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,841.12 : 37,263.42 = 8,212.86 : x
  2. Step 2: Convert to fraction form
    24,841.12/37,263.42 = 8,212.86/x
  3. Step 3: Cross multiply
    24,841.12x = 37,263.42 × 8,212.86
  4. Step 4: Simplify right side
    24,841.12x = 306,039,228.48
  5. Step 5: Solve for x
    x = 306,039,228.48/24,841.12
  6. Step 6: Final answer
    x = 12,319.86

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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.