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Finding the Fourth Proportional to 15,821.28, 23,738.47 and 6,932.02

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Solution

The fourth proportional to 15,821.28, 23,738.47 and 6,932.02 is: 10,400.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821.28 : 23,738.47 = 6,932.02 : x
  2. Step 2: Convert to fraction form
    15,821.28/23,738.47 = 6,932.02/x
  3. Step 3: Cross multiply
    15,821.28x = 23,738.47 × 6,932.02
  4. Step 4: Simplify right side
    15,821.28x = 164,555,472.13
  5. Step 5: Solve for x
    x = 164,555,472.13/15,821.28
  6. Step 6: Final answer
    x = 10,400.90

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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.