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Finding the Fourth Proportional to 34,857.50, 52,287.86 and 11,484.14

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Solution

The fourth proportional to 34,857.50, 52,287.86 and 11,484.14 is: 17,226.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,857.50 : 52,287.86 = 11,484.14 : x
  2. Step 2: Convert to fraction form
    34,857.50/52,287.86 = 11,484.14/x
  3. Step 3: Cross multiply
    34,857.50x = 52,287.86 × 11,484.14
  4. Step 4: Simplify right side
    34,857.50x = 600,480,785.68
  5. Step 5: Solve for x
    x = 600,480,785.68/34,857.50
  6. Step 6: Final answer
    x = 17,226.73

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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.