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Finding the Fourth Proportional to 11,617.44, 17,443.92 and 10,242.36

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Solution

The fourth proportional to 11,617.44, 17,443.92 and 10,242.36 is: 15,379.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.44 : 17,443.92 = 10,242.36 : x
  2. Step 2: Convert to fraction form
    11,617.44/17,443.92 = 10,242.36/x
  3. Step 3: Cross multiply
    11,617.44x = 17,443.92 × 10,242.36
  4. Step 4: Simplify right side
    11,617.44x = 178,666,946.86
  5. Step 5: Solve for x
    x = 178,666,946.86/11,617.44
  6. Step 6: Final answer
    x = 15,379.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.