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Finding the Fourth Proportional to 17,032, 25,540.32 and 6,643.52

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Solution

The fourth proportional to 17,032, 25,540.32 and 6,643.52 is: 9,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,032 : 25,540.32 = 6,643.52 : x
  2. Step 2: Convert to fraction form
    17,032/25,540.32 = 6,643.52/x
  3. Step 3: Cross multiply
    17,032x = 25,540.32 × 6,643.52
  4. Step 4: Simplify right side
    17,032x = 169,677,626.73
  5. Step 5: Solve for x
    x = 169,677,626.73/17,032
  6. Step 6: Final answer
    x = 9,962.28

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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.