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Finding the Fourth Proportional to 17,407.62, 24,016.23 and 11,442.51

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Solution

The fourth proportional to 17,407.62, 24,016.23 and 11,442.51 is: 15,786.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407.62 : 24,016.23 = 11,442.51 : x
  2. Step 2: Convert to fraction form
    17,407.62/24,016.23 = 11,442.51/x
  3. Step 3: Cross multiply
    17,407.62x = 24,016.23 × 11,442.51
  4. Step 4: Simplify right side
    17,407.62x = 274,805,951.94
  5. Step 5: Solve for x
    x = 274,805,951.94/17,407.62
  6. Step 6: Final answer
    x = 15,786.53

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