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Finding the Fourth Proportional to 11,974.42, 17,902.50 and 10,145.98

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Solution

The fourth proportional to 11,974.42, 17,902.50 and 10,145.98 is: 15,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974.42 : 17,902.50 = 10,145.98 : x
  2. Step 2: Convert to fraction form
    11,974.42/17,902.50 = 10,145.98/x
  3. Step 3: Cross multiply
    11,974.42x = 17,902.50 × 10,145.98
  4. Step 4: Simplify right side
    11,974.42x = 181,638,406.95
  5. Step 5: Solve for x
    x = 181,638,406.95/11,974.42
  6. Step 6: Final answer
    x = 15,168.87

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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.