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Finding the Fourth Proportional to 22,265.46, 33,411.76 and 11,592.90

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Solution

The fourth proportional to 22,265.46, 33,411.76 and 11,592.90 is: 17,396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,265.46 : 33,411.76 = 11,592.90 : x
  2. Step 2: Convert to fraction form
    22,265.46/33,411.76 = 11,592.90/x
  3. Step 3: Cross multiply
    22,265.46x = 33,411.76 × 11,592.90
  4. Step 4: Simplify right side
    22,265.46x = 387,339,192.50
  5. Step 5: Solve for x
    x = 387,339,192.50/22,265.46
  6. Step 6: Final answer
    x = 17,396.42

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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.