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Finding the Fourth Proportional to 17,575.28, 26,365.24 and 6,489.76

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Solution

The fourth proportional to 17,575.28, 26,365.24 and 6,489.76 is: 9,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,575.28 : 26,365.24 = 6,489.76 : x
  2. Step 2: Convert to fraction form
    17,575.28/26,365.24 = 6,489.76/x
  3. Step 3: Cross multiply
    17,575.28x = 26,365.24 × 6,489.76
  4. Step 4: Simplify right side
    17,575.28x = 171,104,079.94
  5. Step 5: Solve for x
    x = 171,104,079.94/17,575.28
  6. Step 6: Final answer
    x = 9,735.50

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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.