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Finding the Fourth Proportional to 17,137.16, 23,642.52 and 10,760

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Solution

The fourth proportional to 17,137.16, 23,642.52 and 10,760 is: 14,844.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,137.16 : 23,642.52 = 10,760 : x
  2. Step 2: Convert to fraction form
    17,137.16/23,642.52 = 10,760/x
  3. Step 3: Cross multiply
    17,137.16x = 23,642.52 × 10,760
  4. Step 4: Simplify right side
    17,137.16x = 254,393,515.20
  5. Step 5: Solve for x
    x = 254,393,515.20/17,137.16
  6. Step 6: Final answer
    x = 14,844.56

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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.