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Finding the Fourth Proportional to 27,874.62, 41,815.62 and 14,727.51

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Solution

The fourth proportional to 27,874.62, 41,815.62 and 14,727.51 is: 22,093.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.62 : 41,815.62 = 14,727.51 : x
  2. Step 2: Convert to fraction form
    27,874.62/41,815.62 = 14,727.51/x
  3. Step 3: Cross multiply
    27,874.62x = 41,815.62 × 14,727.51
  4. Step 4: Simplify right side
    27,874.62x = 615,839,961.71
  5. Step 5: Solve for x
    x = 615,839,961.71/27,874.62
  6. Step 6: Final answer
    x = 22,093.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.