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Finding the Fourth Proportional to 21,334.17, 31,997.88 and 7,294.17

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Solution

The fourth proportional to 21,334.17, 31,997.88 and 7,294.17 is: 10,940.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,334.17 : 31,997.88 = 7,294.17 : x
  2. Step 2: Convert to fraction form
    21,334.17/31,997.88 = 7,294.17/x
  3. Step 3: Cross multiply
    21,334.17x = 31,997.88 × 7,294.17
  4. Step 4: Simplify right side
    21,334.17x = 233,397,976.36
  5. Step 5: Solve for x
    x = 233,397,976.36/21,334.17
  6. Step 6: Final answer
    x = 10,940.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.