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Finding the Fourth Proportional to 13,852.69, 20,872.54 and 11,441.52

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Solution

The fourth proportional to 13,852.69, 20,872.54 and 11,441.52 is: 17,239.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.69 : 20,872.54 = 11,441.52 : x
  2. Step 2: Convert to fraction form
    13,852.69/20,872.54 = 11,441.52/x
  3. Step 3: Cross multiply
    13,852.69x = 20,872.54 × 11,441.52
  4. Step 4: Simplify right side
    13,852.69x = 238,813,583.86
  5. Step 5: Solve for x
    x = 238,813,583.86/13,852.69
  6. Step 6: Final answer
    x = 17,239.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.