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Finding the Fourth Proportional to 11,593.45, 16,007.24 and 9,167.20

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Solution

The fourth proportional to 11,593.45, 16,007.24 and 9,167.20 is: 12,657.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.45 : 16,007.24 = 9,167.20 : x
  2. Step 2: Convert to fraction form
    11,593.45/16,007.24 = 9,167.20/x
  3. Step 3: Cross multiply
    11,593.45x = 16,007.24 × 9,167.20
  4. Step 4: Simplify right side
    11,593.45x = 146,741,570.53
  5. Step 5: Solve for x
    x = 146,741,570.53/11,593.45
  6. Step 6: Final answer
    x = 12,657.28

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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.