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Finding the Fourth Proportional to 21,124.95, 29,149.38 and 11,693.49

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Solution

The fourth proportional to 21,124.95, 29,149.38 and 11,693.49 is: 16,135.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,124.95 : 29,149.38 = 11,693.49 : x
  2. Step 2: Convert to fraction form
    21,124.95/29,149.38 = 11,693.49/x
  3. Step 3: Cross multiply
    21,124.95x = 29,149.38 × 11,693.49
  4. Step 4: Simplify right side
    21,124.95x = 340,857,983.54
  5. Step 5: Solve for x
    x = 340,857,983.54/21,124.95
  6. Step 6: Final answer
    x = 16,135.33

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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.