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Finding the Fourth Proportional to 27,913.71, 41,876.71 and 15,451.91

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Solution

The fourth proportional to 27,913.71, 41,876.71 and 15,451.91 is: 23,181.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,913.71 : 41,876.71 = 15,451.91 : x
  2. Step 2: Convert to fraction form
    27,913.71/41,876.71 = 15,451.91/x
  3. Step 3: Cross multiply
    27,913.71x = 41,876.71 × 15,451.91
  4. Step 4: Simplify right side
    27,913.71x = 647,074,944.63
  5. Step 5: Solve for x
    x = 647,074,944.63/27,913.71
  6. Step 6: Final answer
    x = 23,181.26

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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.