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Finding the Fourth Proportional to 20,232.40, 27,919.67 and 11,278.16

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Solution

The fourth proportional to 20,232.40, 27,919.67 and 11,278.16 is: 15,563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,232.40 : 27,919.67 = 11,278.16 : x
  2. Step 2: Convert to fraction form
    20,232.40/27,919.67 = 11,278.16/x
  3. Step 3: Cross multiply
    20,232.40x = 27,919.67 × 11,278.16
  4. Step 4: Simplify right side
    20,232.40x = 314,882,603.66
  5. Step 5: Solve for x
    x = 314,882,603.66/20,232.40
  6. Step 6: Final answer
    x = 15,563.29

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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.