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Finding the Fourth Proportional to 23,501.71, 35,249.09 and 6,857.27

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Solution

The fourth proportional to 23,501.71, 35,249.09 and 6,857.27 is: 10,284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,501.71 : 35,249.09 = 6,857.27 : x
  2. Step 2: Convert to fraction form
    23,501.71/35,249.09 = 6,857.27/x
  3. Step 3: Cross multiply
    23,501.71x = 35,249.09 × 6,857.27
  4. Step 4: Simplify right side
    23,501.71x = 241,712,449.04
  5. Step 5: Solve for x
    x = 241,712,449.04/23,501.71
  6. Step 6: Final answer
    x = 10,284.89

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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.