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Finding the Fourth Proportional to 11,697.11, 16,159.09 and 10,122.47

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Solution

The fourth proportional to 11,697.11, 16,159.09 and 10,122.47 is: 13,983.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.11 : 16,159.09 = 10,122.47 : x
  2. Step 2: Convert to fraction form
    11,697.11/16,159.09 = 10,122.47/x
  3. Step 3: Cross multiply
    11,697.11x = 16,159.09 × 10,122.47
  4. Step 4: Simplify right side
    11,697.11x = 163,569,853.14
  5. Step 5: Solve for x
    x = 163,569,853.14/11,697.11
  6. Step 6: Final answer
    x = 13,983.78

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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.