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Finding the Fourth Proportional to 20,180, 27,833.78 and 15,563.72

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Solution

The fourth proportional to 20,180, 27,833.78 and 15,563.72 is: 21,466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180 : 27,833.78 = 15,563.72 : x
  2. Step 2: Convert to fraction form
    20,180/27,833.78 = 15,563.72/x
  3. Step 3: Cross multiply
    20,180x = 27,833.78 × 15,563.72
  4. Step 4: Simplify right side
    20,180x = 433,197,158.46
  5. Step 5: Solve for x
    x = 433,197,158.46/20,180
  6. Step 6: Final answer
    x = 21,466.66

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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.