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Finding the Fourth Proportional to 15,487.42, 21,375.75 and 9,198.58

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Solution

The fourth proportional to 15,487.42, 21,375.75 and 9,198.58 is: 12,695.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,487.42 : 21,375.75 = 9,198.58 : x
  2. Step 2: Convert to fraction form
    15,487.42/21,375.75 = 9,198.58/x
  3. Step 3: Cross multiply
    15,487.42x = 21,375.75 × 9,198.58
  4. Step 4: Simplify right side
    15,487.42x = 196,626,546.44
  5. Step 5: Solve for x
    x = 196,626,546.44/15,487.42
  6. Step 6: Final answer
    x = 12,695.89

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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.