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Finding the Fourth Proportional to 17,097.21, 25,647.86 and 16,164.09

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Solution

The fourth proportional to 17,097.21, 25,647.86 and 16,164.09 is: 24,248.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.21 : 25,647.86 = 16,164.09 : x
  2. Step 2: Convert to fraction form
    17,097.21/25,647.86 = 16,164.09/x
  3. Step 3: Cross multiply
    17,097.21x = 25,647.86 × 16,164.09
  4. Step 4: Simplify right side
    17,097.21x = 414,574,317.35
  5. Step 5: Solve for x
    x = 414,574,317.35/17,097.21
  6. Step 6: Final answer
    x = 24,248.07

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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.