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Finding the Fourth Proportional to 21,196.74, 31,770.88 and 11,841.09

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Solution

The fourth proportional to 21,196.74, 31,770.88 and 11,841.09 is: 17,748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,196.74 : 31,770.88 = 11,841.09 : x
  2. Step 2: Convert to fraction form
    21,196.74/31,770.88 = 11,841.09/x
  3. Step 3: Cross multiply
    21,196.74x = 31,770.88 × 11,841.09
  4. Step 4: Simplify right side
    21,196.74x = 376,201,767.32
  5. Step 5: Solve for x
    x = 376,201,767.32/21,196.74
  6. Step 6: Final answer
    x = 17,748.10

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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.