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Finding the Fourth Proportional to 26,760.81, 36,929.89 and 14,824.92

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Solution

The fourth proportional to 26,760.81, 36,929.89 and 14,824.92 is: 20,458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,760.81 : 36,929.89 = 14,824.92 : x
  2. Step 2: Convert to fraction form
    26,760.81/36,929.89 = 14,824.92/x
  3. Step 3: Cross multiply
    26,760.81x = 36,929.89 × 14,824.92
  4. Step 4: Simplify right side
    26,760.81x = 547,482,821.88
  5. Step 5: Solve for x
    x = 547,482,821.88/26,760.81
  6. Step 6: Final answer
    x = 20,458.38

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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.