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Finding the Fourth Proportional to 14,175.38, 19,566.42 and 9,697.44

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Solution

The fourth proportional to 14,175.38, 19,566.42 and 9,697.44 is: 13,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,175.38 : 19,566.42 = 9,697.44 : x
  2. Step 2: Convert to fraction form
    14,175.38/19,566.42 = 9,697.44/x
  3. Step 3: Cross multiply
    14,175.38x = 19,566.42 × 9,697.44
  4. Step 4: Simplify right side
    14,175.38x = 189,744,183.96
  5. Step 5: Solve for x
    x = 189,744,183.96/14,175.38
  6. Step 6: Final answer
    x = 13,385.47

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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.