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Finding the Fourth Proportional to 11,896.42, 17,841.12 and 3,574.21

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Solution

The fourth proportional to 11,896.42, 17,841.12 and 3,574.21 is: 5,360.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.42 : 17,841.12 = 3,574.21 : x
  2. Step 2: Convert to fraction form
    11,896.42/17,841.12 = 3,574.21/x
  3. Step 3: Cross multiply
    11,896.42x = 17,841.12 × 3,574.21
  4. Step 4: Simplify right side
    11,896.42x = 63,767,909.52
  5. Step 5: Solve for x
    x = 63,767,909.52/11,896.42
  6. Step 6: Final answer
    x = 5,360.26

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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.