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Finding the Fourth Proportional to 17,642.16, 26,463.24 and 8,406

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Solution

The fourth proportional to 17,642.16, 26,463.24 and 8,406 is: 12,609.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642.16 : 26,463.24 = 8,406 : x
  2. Step 2: Convert to fraction form
    17,642.16/26,463.24 = 8,406/x
  3. Step 3: Cross multiply
    17,642.16x = 26,463.24 × 8,406
  4. Step 4: Simplify right side
    17,642.16x = 222,449,995.44
  5. Step 5: Solve for x
    x = 222,449,995.44/17,642.16
  6. Step 6: Final answer
    x = 12,609.00

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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.