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Finding the Fourth Proportional to 23,785.27, 35,681.99 and 7,991.81

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Solution

The fourth proportional to 23,785.27, 35,681.99 and 7,991.81 is: 11,989.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,785.27 : 35,681.99 = 7,991.81 : x
  2. Step 2: Convert to fraction form
    23,785.27/35,681.99 = 7,991.81/x
  3. Step 3: Cross multiply
    23,785.27x = 35,681.99 × 7,991.81
  4. Step 4: Simplify right side
    23,785.27x = 285,163,684.50
  5. Step 5: Solve for x
    x = 285,163,684.50/23,785.27
  6. Step 6: Final answer
    x = 11,989.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.