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Finding the Fourth Proportional to 17,314, 25,949.08 and 11,071.60

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Solution

The fourth proportional to 17,314, 25,949.08 and 11,071.60 is: 16,593.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314 : 25,949.08 = 11,071.60 : x
  2. Step 2: Convert to fraction form
    17,314/25,949.08 = 11,071.60/x
  3. Step 3: Cross multiply
    17,314x = 25,949.08 × 11,071.60
  4. Step 4: Simplify right side
    17,314x = 287,297,834.13
  5. Step 5: Solve for x
    x = 287,297,834.13/17,314
  6. Step 6: Final answer
    x = 16,593.38

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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.