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Finding the Fourth Proportional to 18,699.92, 25,805.82 and 10,742.66

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Solution

The fourth proportional to 18,699.92, 25,805.82 and 10,742.66 is: 14,824.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,699.92 : 25,805.82 = 10,742.66 : x
  2. Step 2: Convert to fraction form
    18,699.92/25,805.82 = 10,742.66/x
  3. Step 3: Cross multiply
    18,699.92x = 25,805.82 × 10,742.66
  4. Step 4: Simplify right side
    18,699.92x = 277,223,150.28
  5. Step 5: Solve for x
    x = 277,223,150.28/18,699.92
  6. Step 6: Final answer
    x = 14,824.83

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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.