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Finding the Fourth Proportional to 24,785.51, 37,170.39 and 8,141.67

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Solution

The fourth proportional to 24,785.51, 37,170.39 and 8,141.67 is: 12,209.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,785.51 : 37,170.39 = 8,141.67 : x
  2. Step 2: Convert to fraction form
    24,785.51/37,170.39 = 8,141.67/x
  3. Step 3: Cross multiply
    24,785.51x = 37,170.39 × 8,141.67
  4. Step 4: Simplify right side
    24,785.51x = 302,629,049.15
  5. Step 5: Solve for x
    x = 302,629,049.15/24,785.51
  6. Step 6: Final answer
    x = 12,209.92

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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.