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Finding the Fourth Proportional to 17,027.52, 25,519.65 and 7,657.53

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Solution

The fourth proportional to 17,027.52, 25,519.65 and 7,657.53 is: 11,476.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,027.52 : 25,519.65 = 7,657.53 : x
  2. Step 2: Convert to fraction form
    17,027.52/25,519.65 = 7,657.53/x
  3. Step 3: Cross multiply
    17,027.52x = 25,519.65 × 7,657.53
  4. Step 4: Simplify right side
    17,027.52x = 195,417,485.46
  5. Step 5: Solve for x
    x = 195,417,485.46/17,027.52
  6. Step 6: Final answer
    x = 11,476.57

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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.