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Finding the Fourth Proportional to 11,625, 17,448.36 and 9,044.28

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Solution

The fourth proportional to 11,625, 17,448.36 and 9,044.28 is: 13,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,625 : 17,448.36 = 9,044.28 : x
  2. Step 2: Convert to fraction form
    11,625/17,448.36 = 9,044.28/x
  3. Step 3: Cross multiply
    11,625x = 17,448.36 × 9,044.28
  4. Step 4: Simplify right side
    11,625x = 157,807,853.38
  5. Step 5: Solve for x
    x = 157,807,853.38/11,625
  6. Step 6: Final answer
    x = 13,574.87

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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.