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Finding the Fourth Proportional to 14,837, 20,475.12 and 8,213

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Solution

The fourth proportional to 14,837, 20,475.12 and 8,213 is: 11,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,837 : 20,475.12 = 8,213 : x
  2. Step 2: Convert to fraction form
    14,837/20,475.12 = 8,213/x
  3. Step 3: Cross multiply
    14,837x = 20,475.12 × 8,213
  4. Step 4: Simplify right side
    14,837x = 168,162,160.56
  5. Step 5: Solve for x
    x = 168,162,160.56/14,837
  6. Step 6: Final answer
    x = 11,333.97

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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.