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Finding the Fourth Proportional to 26,819.16, 40,224 and 7,098

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Solution

The fourth proportional to 26,819.16, 40,224 and 7,098 is: 10,645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,819.16 : 40,224 = 7,098 : x
  2. Step 2: Convert to fraction form
    26,819.16/40,224 = 7,098/x
  3. Step 3: Cross multiply
    26,819.16x = 40,224 × 7,098
  4. Step 4: Simplify right side
    26,819.16x = 285,509,952
  5. Step 5: Solve for x
    x = 285,509,952/26,819.16
  6. Step 6: Final answer
    x = 10,645.75

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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.