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Finding the Fourth Proportional to 21,253.26, 31,880.97 and 7,214.88

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Solution

The fourth proportional to 21,253.26, 31,880.97 and 7,214.88 is: 10,822.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,253.26 : 31,880.97 = 7,214.88 : x
  2. Step 2: Convert to fraction form
    21,253.26/31,880.97 = 7,214.88/x
  3. Step 3: Cross multiply
    21,253.26x = 31,880.97 × 7,214.88
  4. Step 4: Simplify right side
    21,253.26x = 230,017,372.83
  5. Step 5: Solve for x
    x = 230,017,372.83/21,253.26
  6. Step 6: Final answer
    x = 10,822.69

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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.