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Finding the Fourth Proportional to 17,046.40, 25,552 and 9,238.72

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Solution

The fourth proportional to 17,046.40, 25,552 and 9,238.72 is: 13,848.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,046.40 : 25,552 = 9,238.72 : x
  2. Step 2: Convert to fraction form
    17,046.40/25,552 = 9,238.72/x
  3. Step 3: Cross multiply
    17,046.40x = 25,552 × 9,238.72
  4. Step 4: Simplify right side
    17,046.40x = 236,067,773.44
  5. Step 5: Solve for x
    x = 236,067,773.44/17,046.40
  6. Step 6: Final answer
    x = 13,848.54

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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.