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Finding the Fourth Proportional to 21,892.12, 30,198.04 and 13,811.49

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Solution

The fourth proportional to 21,892.12, 30,198.04 and 13,811.49 is: 19,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,892.12 : 30,198.04 = 13,811.49 : x
  2. Step 2: Convert to fraction form
    21,892.12/30,198.04 = 13,811.49/x
  3. Step 3: Cross multiply
    21,892.12x = 30,198.04 × 13,811.49
  4. Step 4: Simplify right side
    21,892.12x = 417,079,927.48
  5. Step 5: Solve for x
    x = 417,079,927.48/21,892.12
  6. Step 6: Final answer
    x = 19,051.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.