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Finding the Fourth Proportional to 24,842.93, 37,256.49 and 8,199.86

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Solution

The fourth proportional to 24,842.93, 37,256.49 and 8,199.86 is: 12,297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,842.93 : 37,256.49 = 8,199.86 : x
  2. Step 2: Convert to fraction form
    24,842.93/37,256.49 = 8,199.86/x
  3. Step 3: Cross multiply
    24,842.93x = 37,256.49 × 8,199.86
  4. Step 4: Simplify right side
    24,842.93x = 305,497,815.81
  5. Step 5: Solve for x
    x = 305,497,815.81/24,842.93
  6. Step 6: Final answer
    x = 12,297.18

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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.