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Finding the Fourth Proportional to 20,268, 27,969.30 and 11,315.25

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Solution

The fourth proportional to 20,268, 27,969.30 and 11,315.25 is: 15,614.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,268 : 27,969.30 = 11,315.25 : x
  2. Step 2: Convert to fraction form
    20,268/27,969.30 = 11,315.25/x
  3. Step 3: Cross multiply
    20,268x = 27,969.30 × 11,315.25
  4. Step 4: Simplify right side
    20,268x = 316,479,621.83
  5. Step 5: Solve for x
    x = 316,479,621.83/20,268
  6. Step 6: Final answer
    x = 15,614.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.