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Finding the Fourth Proportional to 20,097.42, 30,141.78 and 12,691.98

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Solution

The fourth proportional to 20,097.42, 30,141.78 and 12,691.98 is: 19,035.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.42 : 30,141.78 = 12,691.98 : x
  2. Step 2: Convert to fraction form
    20,097.42/30,141.78 = 12,691.98/x
  3. Step 3: Cross multiply
    20,097.42x = 30,141.78 × 12,691.98
  4. Step 4: Simplify right side
    20,097.42x = 382,558,868.92
  5. Step 5: Solve for x
    x = 382,558,868.92/20,097.42
  6. Step 6: Final answer
    x = 19,035.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.