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Finding the Fourth Proportional to 19,583.12, 27,021.84 and 11,198.00

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Solution

The fourth proportional to 19,583.12, 27,021.84 and 11,198.00 is: 15,451.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,583.12 : 27,021.84 = 11,198.00 : x
  2. Step 2: Convert to fraction form
    19,583.12/27,021.84 = 11,198.00/x
  3. Step 3: Cross multiply
    19,583.12x = 27,021.84 × 11,198.00
  4. Step 4: Simplify right side
    19,583.12x = 302,590,429.21
  5. Step 5: Solve for x
    x = 302,590,429.21/19,583.12
  6. Step 6: Final answer
    x = 15,451.60

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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.