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Finding the Fourth Proportional to 17,382.14, 23,987.22 and 9,424.31

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Solution

The fourth proportional to 17,382.14, 23,987.22 and 9,424.31 is: 13,005.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382.14 : 23,987.22 = 9,424.31 : x
  2. Step 2: Convert to fraction form
    17,382.14/23,987.22 = 9,424.31/x
  3. Step 3: Cross multiply
    17,382.14x = 23,987.22 × 9,424.31
  4. Step 4: Simplify right side
    17,382.14x = 226,062,877.38
  5. Step 5: Solve for x
    x = 226,062,877.38/17,382.14
  6. Step 6: Final answer
    x = 13,005.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.