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Finding the Fourth Proportional to 12,015.17, 17,997.64 and 9,662.47

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Solution

The fourth proportional to 12,015.17, 17,997.64 and 9,662.47 is: 14,473.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,015.17 : 17,997.64 = 9,662.47 : x
  2. Step 2: Convert to fraction form
    12,015.17/17,997.64 = 9,662.47/x
  3. Step 3: Cross multiply
    12,015.17x = 17,997.64 × 9,662.47
  4. Step 4: Simplify right side
    12,015.17x = 173,901,656.57
  5. Step 5: Solve for x
    x = 173,901,656.57/12,015.17
  6. Step 6: Final answer
    x = 14,473.51

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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.