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Finding the Fourth Proportional to 11,468.70, 17,198.85 and 9,008.31

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Solution

The fourth proportional to 11,468.70, 17,198.85 and 9,008.31 is: 13,509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.70 : 17,198.85 = 9,008.31 : x
  2. Step 2: Convert to fraction form
    11,468.70/17,198.85 = 9,008.31/x
  3. Step 3: Cross multiply
    11,468.70x = 17,198.85 × 9,008.31
  4. Step 4: Simplify right side
    11,468.70x = 154,932,572.44
  5. Step 5: Solve for x
    x = 154,932,572.44/11,468.70
  6. Step 6: Final answer
    x = 13,509.17

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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.