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Finding the Fourth Proportional to 21,149.07, 31,717.94 and 6,354.69

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Solution

The fourth proportional to 21,149.07, 31,717.94 and 6,354.69 is: 9,530.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,149.07 : 31,717.94 = 6,354.69 : x
  2. Step 2: Convert to fraction form
    21,149.07/31,717.94 = 6,354.69/x
  3. Step 3: Cross multiply
    21,149.07x = 31,717.94 × 6,354.69
  4. Step 4: Simplify right side
    21,149.07x = 201,557,644.37
  5. Step 5: Solve for x
    x = 201,557,644.37/21,149.07
  6. Step 6: Final answer
    x = 9,530.33

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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.