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Finding the Fourth Proportional to 22,476.57, 33,715.47 and 5,836.23

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Solution

The fourth proportional to 22,476.57, 33,715.47 and 5,836.23 is: 8,754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,476.57 : 33,715.47 = 5,836.23 : x
  2. Step 2: Convert to fraction form
    22,476.57/33,715.47 = 5,836.23/x
  3. Step 3: Cross multiply
    22,476.57x = 33,715.47 × 5,836.23
  4. Step 4: Simplify right side
    22,476.57x = 196,771,237.48
  5. Step 5: Solve for x
    x = 196,771,237.48/22,476.57
  6. Step 6: Final answer
    x = 8,754.50

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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.