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Finding the Fourth Proportional to 21,198.41, 31,803.99 and 12,774.05

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Solution

The fourth proportional to 21,198.41, 31,803.99 and 12,774.05 is: 19,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,198.41 : 31,803.99 = 12,774.05 : x
  2. Step 2: Convert to fraction form
    21,198.41/31,803.99 = 12,774.05/x
  3. Step 3: Cross multiply
    21,198.41x = 31,803.99 × 12,774.05
  4. Step 4: Simplify right side
    21,198.41x = 406,265,921.55
  5. Step 5: Solve for x
    x = 406,265,921.55/21,198.41
  6. Step 6: Final answer
    x = 19,164.93

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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.