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Finding the Fourth Proportional to 17,922.36, 26,864.64 and 6,822.12

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Solution

The fourth proportional to 17,922.36, 26,864.64 and 6,822.12 is: 10,225.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,922.36 : 26,864.64 = 6,822.12 : x
  2. Step 2: Convert to fraction form
    17,922.36/26,864.64 = 6,822.12/x
  3. Step 3: Cross multiply
    17,922.36x = 26,864.64 × 6,822.12
  4. Step 4: Simplify right side
    17,922.36x = 183,273,797.84
  5. Step 5: Solve for x
    x = 183,273,797.84/17,922.36
  6. Step 6: Final answer
    x = 10,225.99

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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.