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Finding the Fourth Proportional to 21,252.76, 31,880.22 and 7,214.38

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Solution

The fourth proportional to 21,252.76, 31,880.22 and 7,214.38 is: 10,821.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,252.76 : 31,880.22 = 7,214.38 : x
  2. Step 2: Convert to fraction form
    21,252.76/31,880.22 = 7,214.38/x
  3. Step 3: Cross multiply
    21,252.76x = 31,880.22 × 7,214.38
  4. Step 4: Simplify right side
    21,252.76x = 229,996,021.56
  5. Step 5: Solve for x
    x = 229,996,021.56/21,252.76
  6. Step 6: Final answer
    x = 10,821.94

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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.