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Finding the Fourth Proportional to 17,649.72, 26,474.54 and 13,757

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Solution

The fourth proportional to 17,649.72, 26,474.54 and 13,757 is: 20,635.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.72 : 26,474.54 = 13,757 : x
  2. Step 2: Convert to fraction form
    17,649.72/26,474.54 = 13,757/x
  3. Step 3: Cross multiply
    17,649.72x = 26,474.54 × 13,757
  4. Step 4: Simplify right side
    17,649.72x = 364,210,246.78
  5. Step 5: Solve for x
    x = 364,210,246.78/17,649.72
  6. Step 6: Final answer
    x = 20,635.47

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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.