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Finding the Fourth Proportional to 17,086, 25,643.58 and 6,705.04

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Solution

The fourth proportional to 17,086, 25,643.58 and 6,705.04 is: 10,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,086 : 25,643.58 = 6,705.04 : x
  2. Step 2: Convert to fraction form
    17,086/25,643.58 = 6,705.04/x
  3. Step 3: Cross multiply
    17,086x = 25,643.58 × 6,705.04
  4. Step 4: Simplify right side
    17,086x = 171,941,229.64
  5. Step 5: Solve for x
    x = 171,941,229.64/17,086
  6. Step 6: Final answer
    x = 10,063.28

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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.