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Finding the Fourth Proportional to 17,365.75, 26,049.92 and 6,977.53

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Solution

The fourth proportional to 17,365.75, 26,049.92 and 6,977.53 is: 10,466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,365.75 : 26,049.92 = 6,977.53 : x
  2. Step 2: Convert to fraction form
    17,365.75/26,049.92 = 6,977.53/x
  3. Step 3: Cross multiply
    17,365.75x = 26,049.92 × 6,977.53
  4. Step 4: Simplify right side
    17,365.75x = 181,764,098.30
  5. Step 5: Solve for x
    x = 181,764,098.30/17,365.75
  6. Step 6: Final answer
    x = 10,466.82

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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.