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Finding the Fourth Proportional to 17,182.56, 23,655.26 and 14,943.24

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Solution

The fourth proportional to 17,182.56, 23,655.26 and 14,943.24 is: 20,572.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,182.56 : 23,655.26 = 14,943.24 : x
  2. Step 2: Convert to fraction form
    17,182.56/23,655.26 = 14,943.24/x
  3. Step 3: Cross multiply
    17,182.56x = 23,655.26 × 14,943.24
  4. Step 4: Simplify right side
    17,182.56x = 353,486,227.44
  5. Step 5: Solve for x
    x = 353,486,227.44/17,182.56
  6. Step 6: Final answer
    x = 20,572.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.