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Finding the Fourth Proportional to 22,530.28, 33,797.71 and 7,737.27

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Solution

The fourth proportional to 22,530.28, 33,797.71 and 7,737.27 is: 11,606.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,530.28 : 33,797.71 = 7,737.27 : x
  2. Step 2: Convert to fraction form
    22,530.28/33,797.71 = 7,737.27/x
  3. Step 3: Cross multiply
    22,530.28x = 33,797.71 × 7,737.27
  4. Step 4: Simplify right side
    22,530.28x = 261,502,037.17
  5. Step 5: Solve for x
    x = 261,502,037.17/22,530.28
  6. Step 6: Final answer
    x = 11,606.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.