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Finding the Fourth Proportional to 17,896.58, 26,837.35 and 6,797.14

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Solution

The fourth proportional to 17,896.58, 26,837.35 and 6,797.14 is: 10,192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,896.58 : 26,837.35 = 6,797.14 : x
  2. Step 2: Convert to fraction form
    17,896.58/26,837.35 = 6,797.14/x
  3. Step 3: Cross multiply
    17,896.58x = 26,837.35 × 6,797.14
  4. Step 4: Simplify right side
    17,896.58x = 182,417,225.18
  5. Step 5: Solve for x
    x = 182,417,225.18/17,896.58
  6. Step 6: Final answer
    x = 10,192.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.