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Finding the Fourth Proportional to 19,729.53, 27,226.67 and 11,232

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Solution

The fourth proportional to 19,729.53, 27,226.67 and 11,232 is: 15,500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,729.53 : 27,226.67 = 11,232 : x
  2. Step 2: Convert to fraction form
    19,729.53/27,226.67 = 11,232/x
  3. Step 3: Cross multiply
    19,729.53x = 27,226.67 × 11,232
  4. Step 4: Simplify right side
    19,729.53x = 305,809,901.28
  5. Step 5: Solve for x
    x = 305,809,901.28/19,729.53
  6. Step 6: Final answer
    x = 15,500.11

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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.