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Finding the Fourth Proportional to 21,175.21, 31,774.97 and 8,024.05

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Solution

The fourth proportional to 21,175.21, 31,774.97 and 8,024.05 is: 12,040.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,175.21 : 31,774.97 = 8,024.05 : x
  2. Step 2: Convert to fraction form
    21,175.21/31,774.97 = 8,024.05/x
  3. Step 3: Cross multiply
    21,175.21x = 31,774.97 × 8,024.05
  4. Step 4: Simplify right side
    21,175.21x = 254,963,948.03
  5. Step 5: Solve for x
    x = 254,963,948.03/21,175.21
  6. Step 6: Final answer
    x = 12,040.68

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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.