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Finding the Fourth Proportional to 26,534, 39,802 and 9,898.24

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Solution

The fourth proportional to 26,534, 39,802 and 9,898.24 is: 14,847.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,534 : 39,802 = 9,898.24 : x
  2. Step 2: Convert to fraction form
    26,534/39,802 = 9,898.24/x
  3. Step 3: Cross multiply
    26,534x = 39,802 × 9,898.24
  4. Step 4: Simplify right side
    26,534x = 393,969,748.48
  5. Step 5: Solve for x
    x = 393,969,748.48/26,534
  6. Step 6: Final answer
    x = 14,847.73

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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.