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Finding the Fourth Proportional to 19,708.50, 27,198.60 and 11,097.64

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Solution

The fourth proportional to 19,708.50, 27,198.60 and 11,097.64 is: 15,315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,708.50 : 27,198.60 = 11,097.64 : x
  2. Step 2: Convert to fraction form
    19,708.50/27,198.60 = 11,097.64/x
  3. Step 3: Cross multiply
    19,708.50x = 27,198.60 × 11,097.64
  4. Step 4: Simplify right side
    19,708.50x = 301,840,326.11
  5. Step 5: Solve for x
    x = 301,840,326.11/19,708.50
  6. Step 6: Final answer
    x = 15,315.24

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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.