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Finding the Fourth Proportional to 20,155.94, 27,816.92 and 11,205.16

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Solution

The fourth proportional to 20,155.94, 27,816.92 and 11,205.16 is: 15,464.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,155.94 : 27,816.92 = 11,205.16 : x
  2. Step 2: Convert to fraction form
    20,155.94/27,816.92 = 11,205.16/x
  3. Step 3: Cross multiply
    20,155.94x = 27,816.92 × 11,205.16
  4. Step 4: Simplify right side
    20,155.94x = 311,693,039.31
  5. Step 5: Solve for x
    x = 311,693,039.31/20,155.94
  6. Step 6: Final answer
    x = 15,464.08

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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.