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Finding the Fourth Proportional to 27,324.70, 37,709.49 and 16,711

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Solution

The fourth proportional to 27,324.70, 37,709.49 and 16,711 is: 23,062.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,324.70 : 37,709.49 = 16,711 : x
  2. Step 2: Convert to fraction form
    27,324.70/37,709.49 = 16,711/x
  3. Step 3: Cross multiply
    27,324.70x = 37,709.49 × 16,711
  4. Step 4: Simplify right side
    27,324.70x = 630,163,287.39
  5. Step 5: Solve for x
    x = 630,163,287.39/27,324.70
  6. Step 6: Final answer
    x = 23,062.04

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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.