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Finding the Fourth Proportional to 19,965, 27,551.82 and 11,012.82

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Solution

The fourth proportional to 19,965, 27,551.82 and 11,012.82 is: 15,197.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,965 : 27,551.82 = 11,012.82 : x
  2. Step 2: Convert to fraction form
    19,965/27,551.82 = 11,012.82/x
  3. Step 3: Cross multiply
    19,965x = 27,551.82 × 11,012.82
  4. Step 4: Simplify right side
    19,965x = 303,423,234.33
  5. Step 5: Solve for x
    x = 303,423,234.33/19,965
  6. Step 6: Final answer
    x = 15,197.76

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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.