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Finding the Fourth Proportional to 19,690.69, 27,178.32 and 11,197.78

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Solution

The fourth proportional to 19,690.69, 27,178.32 and 11,197.78 is: 15,455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,690.69 : 27,178.32 = 11,197.78 : x
  2. Step 2: Convert to fraction form
    19,690.69/27,178.32 = 11,197.78/x
  3. Step 3: Cross multiply
    19,690.69x = 27,178.32 × 11,197.78
  4. Step 4: Simplify right side
    19,690.69x = 304,336,712.24
  5. Step 5: Solve for x
    x = 304,336,712.24/19,690.69
  6. Step 6: Final answer
    x = 15,455.87

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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.