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Finding the Fourth Proportional to 22,533.92, 33,797.64 and 13,178.24

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Solution

The fourth proportional to 22,533.92, 33,797.64 and 13,178.24 is: 19,765.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533.92 : 33,797.64 = 13,178.24 : x
  2. Step 2: Convert to fraction form
    22,533.92/33,797.64 = 13,178.24/x
  3. Step 3: Cross multiply
    22,533.92x = 33,797.64 × 13,178.24
  4. Step 4: Simplify right side
    22,533.92x = 445,393,411.35
  5. Step 5: Solve for x
    x = 445,393,411.35/22,533.92
  6. Step 6: Final answer
    x = 19,765.47

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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.