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Finding the Fourth Proportional to 11,829.97, 17,692.65 and 10,522.90

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Solution

The fourth proportional to 11,829.97, 17,692.65 and 10,522.90 is: 15,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.97 : 17,692.65 = 10,522.90 : x
  2. Step 2: Convert to fraction form
    11,829.97/17,692.65 = 10,522.90/x
  3. Step 3: Cross multiply
    11,829.97x = 17,692.65 × 10,522.90
  4. Step 4: Simplify right side
    11,829.97x = 186,177,986.69
  5. Step 5: Solve for x
    x = 186,177,986.69/11,829.97
  6. Step 6: Final answer
    x = 15,737.82

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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.