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Finding the Fourth Proportional to 15,821.12, 23,738.06 and 5,963.22

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Solution

The fourth proportional to 15,821.12, 23,738.06 and 5,963.22 is: 8,947.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821.12 : 23,738.06 = 5,963.22 : x
  2. Step 2: Convert to fraction form
    15,821.12/23,738.06 = 5,963.22/x
  3. Step 3: Cross multiply
    15,821.12x = 23,738.06 × 5,963.22
  4. Step 4: Simplify right side
    15,821.12x = 141,555,289.06
  5. Step 5: Solve for x
    x = 141,555,289.06/15,821.12
  6. Step 6: Final answer
    x = 8,947.23

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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.