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Finding the Fourth Proportional to 21,785.31, 32,683.03 and 6,791.69

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Solution

The fourth proportional to 21,785.31, 32,683.03 and 6,791.69 is: 10,189.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,785.31 : 32,683.03 = 6,791.69 : x
  2. Step 2: Convert to fraction form
    21,785.31/32,683.03 = 6,791.69/x
  3. Step 3: Cross multiply
    21,785.31x = 32,683.03 × 6,791.69
  4. Step 4: Simplify right side
    21,785.31x = 221,973,072.75
  5. Step 5: Solve for x
    x = 221,973,072.75/21,785.31
  6. Step 6: Final answer
    x = 10,189.12

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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.