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Finding the Fourth Proportional to 21,214.10, 31,825.71 and 7,173.46

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Solution

The fourth proportional to 21,214.10, 31,825.71 and 7,173.46 is: 10,761.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,214.10 : 31,825.71 = 7,173.46 : x
  2. Step 2: Convert to fraction form
    21,214.10/31,825.71 = 7,173.46/x
  3. Step 3: Cross multiply
    21,214.10x = 31,825.71 × 7,173.46
  4. Step 4: Simplify right side
    21,214.10x = 228,300,497.44
  5. Step 5: Solve for x
    x = 228,300,497.44/21,214.10
  6. Step 6: Final answer
    x = 10,761.73

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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.