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Finding the Fourth Proportional to 17,876.68, 26,824.12 and 7,354.78

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Solution

The fourth proportional to 17,876.68, 26,824.12 and 7,354.78 is: 11,035.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,876.68 : 26,824.12 = 7,354.78 : x
  2. Step 2: Convert to fraction form
    17,876.68/26,824.12 = 7,354.78/x
  3. Step 3: Cross multiply
    17,876.68x = 26,824.12 × 7,354.78
  4. Step 4: Simplify right side
    17,876.68x = 197,285,501.29
  5. Step 5: Solve for x
    x = 197,285,501.29/17,876.68
  6. Step 6: Final answer
    x = 11,035.91

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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.