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Finding the Fourth Proportional to 17,737.84, 24,474.84 and 11,110

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Solution

The fourth proportional to 17,737.84, 24,474.84 and 11,110 is: 15,329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.84 : 24,474.84 = 11,110 : x
  2. Step 2: Convert to fraction form
    17,737.84/24,474.84 = 11,110/x
  3. Step 3: Cross multiply
    17,737.84x = 24,474.84 × 11,110
  4. Step 4: Simplify right side
    17,737.84x = 271,915,472.40
  5. Step 5: Solve for x
    x = 271,915,472.40/17,737.84
  6. Step 6: Final answer
    x = 15,329.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.