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Finding the Fourth Proportional to 21,274.50, 31,911.75 and 5,691.72

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Solution

The fourth proportional to 21,274.50, 31,911.75 and 5,691.72 is: 8,537.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,274.50 : 31,911.75 = 5,691.72 : x
  2. Step 2: Convert to fraction form
    21,274.50/31,911.75 = 5,691.72/x
  3. Step 3: Cross multiply
    21,274.50x = 31,911.75 × 5,691.72
  4. Step 4: Simplify right side
    21,274.50x = 181,632,745.71
  5. Step 5: Solve for x
    x = 181,632,745.71/21,274.50
  6. Step 6: Final answer
    x = 8,537.58

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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.