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Finding the Fourth Proportional to 14,882.30, 20,538.06 and 8,168.48

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Solution

The fourth proportional to 14,882.30, 20,538.06 and 8,168.48 is: 11,272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.30 : 20,538.06 = 8,168.48 : x
  2. Step 2: Convert to fraction form
    14,882.30/20,538.06 = 8,168.48/x
  3. Step 3: Cross multiply
    14,882.30x = 20,538.06 × 8,168.48
  4. Step 4: Simplify right side
    14,882.30x = 167,764,732.35
  5. Step 5: Solve for x
    x = 167,764,732.35/14,882.30
  6. Step 6: Final answer
    x = 11,272.77

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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.