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Finding the Fourth Proportional to 14,832.56, 20,468.10 and 8,118.17

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Solution

The fourth proportional to 14,832.56, 20,468.10 and 8,118.17 is: 11,202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,832.56 : 20,468.10 = 8,118.17 : x
  2. Step 2: Convert to fraction form
    14,832.56/20,468.10 = 8,118.17/x
  3. Step 3: Cross multiply
    14,832.56x = 20,468.10 × 8,118.17
  4. Step 4: Simplify right side
    14,832.56x = 166,163,515.38
  5. Step 5: Solve for x
    x = 166,163,515.38/14,832.56
  6. Step 6: Final answer
    x = 11,202.62

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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.