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Finding the Fourth Proportional to 14,763.44, 20,372.75 and 8,475.82

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Solution

The fourth proportional to 14,763.44, 20,372.75 and 8,475.82 is: 11,696.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,763.44 : 20,372.75 = 8,475.82 : x
  2. Step 2: Convert to fraction form
    14,763.44/20,372.75 = 8,475.82/x
  3. Step 3: Cross multiply
    14,763.44x = 20,372.75 × 8,475.82
  4. Step 4: Simplify right side
    14,763.44x = 172,675,700.38
  5. Step 5: Solve for x
    x = 172,675,700.38/14,763.44
  6. Step 6: Final answer
    x = 11,696.17

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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.