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Finding the Fourth Proportional to 22,472.10, 33,697.20 and 11,947.16

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Solution

The fourth proportional to 22,472.10, 33,697.20 and 11,947.16 is: 17,914.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.10 : 33,697.20 = 11,947.16 : x
  2. Step 2: Convert to fraction form
    22,472.10/33,697.20 = 11,947.16/x
  3. Step 3: Cross multiply
    22,472.10x = 33,697.20 × 11,947.16
  4. Step 4: Simplify right side
    22,472.10x = 402,585,969.00
  5. Step 5: Solve for x
    x = 402,585,969.00/22,472.10
  6. Step 6: Final answer
    x = 17,914.92

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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.