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Finding the Fourth Proportional to 20,882.84, 31,322.84 and 9,792

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Solution

The fourth proportional to 20,882.84, 31,322.84 and 9,792 is: 14,687.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,882.84 : 31,322.84 = 9,792 : x
  2. Step 2: Convert to fraction form
    20,882.84/31,322.84 = 9,792/x
  3. Step 3: Cross multiply
    20,882.84x = 31,322.84 × 9,792
  4. Step 4: Simplify right side
    20,882.84x = 306,713,200.32
  5. Step 5: Solve for x
    x = 306,713,200.32/20,882.84
  6. Step 6: Final answer
    x = 14,687.34

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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.