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Finding the Fourth Proportional to 20,273.64, 27,977.64 and 11,321.13

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Solution

The fourth proportional to 20,273.64, 27,977.64 and 11,321.13 is: 15,623.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,273.64 : 27,977.64 = 11,321.13 : x
  2. Step 2: Convert to fraction form
    20,273.64/27,977.64 = 11,321.13/x
  3. Step 3: Cross multiply
    20,273.64x = 27,977.64 × 11,321.13
  4. Step 4: Simplify right side
    20,273.64x = 316,738,499.53
  5. Step 5: Solve for x
    x = 316,738,499.53/20,273.64
  6. Step 6: Final answer
    x = 15,623.17

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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.