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Finding the Fourth Proportional to 14,882.78, 20,538.81 and 8,168.64

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Solution

The fourth proportional to 14,882.78, 20,538.81 and 8,168.64 is: 11,273.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.78 : 20,538.81 = 8,168.64 : x
  2. Step 2: Convert to fraction form
    14,882.78/20,538.81 = 8,168.64/x
  3. Step 3: Cross multiply
    14,882.78x = 20,538.81 × 8,168.64
  4. Step 4: Simplify right side
    14,882.78x = 167,774,144.92
  5. Step 5: Solve for x
    x = 167,774,144.92/14,882.78
  6. Step 6: Final answer
    x = 11,273.04

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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.