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Finding the Fourth Proportional to 19,690.92, 27,159.57 and 11,727

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Solution

The fourth proportional to 19,690.92, 27,159.57 and 11,727 is: 16,174.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,690.92 : 27,159.57 = 11,727 : x
  2. Step 2: Convert to fraction form
    19,690.92/27,159.57 = 11,727/x
  3. Step 3: Cross multiply
    19,690.92x = 27,159.57 × 11,727
  4. Step 4: Simplify right side
    19,690.92x = 318,500,277.39
  5. Step 5: Solve for x
    x = 318,500,277.39/19,690.92
  6. Step 6: Final answer
    x = 16,174.98

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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.