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Finding the Fourth Proportional to 24,785.42, 37,170.24 and 8,141.59

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Solution

The fourth proportional to 24,785.42, 37,170.24 and 8,141.59 is: 12,209.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,785.42 : 37,170.24 = 8,141.59 : x
  2. Step 2: Convert to fraction form
    24,785.42/37,170.24 = 8,141.59/x
  3. Step 3: Cross multiply
    24,785.42x = 37,170.24 × 8,141.59
  4. Step 4: Simplify right side
    24,785.42x = 302,624,811.47
  5. Step 5: Solve for x
    x = 302,624,811.47/24,785.42
  6. Step 6: Final answer
    x = 12,209.79

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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.