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Finding the Fourth Proportional to 17,896.14, 26,838.14 and 6,800.16

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Solution

The fourth proportional to 17,896.14, 26,838.14 and 6,800.16 is: 10,197.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,896.14 : 26,838.14 = 6,800.16 : x
  2. Step 2: Convert to fraction form
    17,896.14/26,838.14 = 6,800.16/x
  3. Step 3: Cross multiply
    17,896.14x = 26,838.14 × 6,800.16
  4. Step 4: Simplify right side
    17,896.14x = 182,503,612.10
  5. Step 5: Solve for x
    x = 182,503,612.10/17,896.14
  6. Step 6: Final answer
    x = 10,197.93

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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.