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Finding the Fourth Proportional to 21,145.80, 31,720.86 and 7,293

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Solution

The fourth proportional to 21,145.80, 31,720.86 and 7,293 is: 10,940.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,145.80 : 31,720.86 = 7,293 : x
  2. Step 2: Convert to fraction form
    21,145.80/31,720.86 = 7,293/x
  3. Step 3: Cross multiply
    21,145.80x = 31,720.86 × 7,293
  4. Step 4: Simplify right side
    21,145.80x = 231,340,231.98
  5. Step 5: Solve for x
    x = 231,340,231.98/21,145.80
  6. Step 6: Final answer
    x = 10,940.24

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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.