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Finding the Fourth Proportional to 19,965, 27,551.83 and 11,012.75

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Solution

The fourth proportional to 19,965, 27,551.83 and 11,012.75 is: 15,197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,965 : 27,551.83 = 11,012.75 : x
  2. Step 2: Convert to fraction form
    19,965/27,551.83 = 11,012.75/x
  3. Step 3: Cross multiply
    19,965x = 27,551.83 × 11,012.75
  4. Step 4: Simplify right side
    19,965x = 303,421,278.07
  5. Step 5: Solve for x
    x = 303,421,278.07/19,965
  6. Step 6: Final answer
    x = 15,197.66

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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.