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Finding the Fourth Proportional to 15,754.30, 21,735.21 and 9,382.84

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Solution

The fourth proportional to 15,754.30, 21,735.21 and 9,382.84 is: 12,944.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.30 : 21,735.21 = 9,382.84 : x
  2. Step 2: Convert to fraction form
    15,754.30/21,735.21 = 9,382.84/x
  3. Step 3: Cross multiply
    15,754.30x = 21,735.21 × 9,382.84
  4. Step 4: Simplify right side
    15,754.30x = 203,937,997.80
  5. Step 5: Solve for x
    x = 203,937,997.80/15,754.30
  6. Step 6: Final answer
    x = 12,944.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.