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Finding the Fourth Proportional to 13,974.63, 19,287.22 and 8,233.01

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Solution

The fourth proportional to 13,974.63, 19,287.22 and 8,233.01 is: 11,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974.63 : 19,287.22 = 8,233.01 : x
  2. Step 2: Convert to fraction form
    13,974.63/19,287.22 = 8,233.01/x
  3. Step 3: Cross multiply
    13,974.63x = 19,287.22 × 8,233.01
  4. Step 4: Simplify right side
    13,974.63x = 158,791,869.03
  5. Step 5: Solve for x
    x = 158,791,869.03/13,974.63
  6. Step 6: Final answer
    x = 11,362.87

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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.