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Finding the Fourth Proportional to 21,128.06, 29,164 and 12,179.14

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Solution

The fourth proportional to 21,128.06, 29,164 and 12,179.14 is: 16,811.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,128.06 : 29,164 = 12,179.14 : x
  2. Step 2: Convert to fraction form
    21,128.06/29,164 = 12,179.14/x
  3. Step 3: Cross multiply
    21,128.06x = 29,164 × 12,179.14
  4. Step 4: Simplify right side
    21,128.06x = 355,192,438.96
  5. Step 5: Solve for x
    x = 355,192,438.96/21,128.06
  6. Step 6: Final answer
    x = 16,811.41

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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.