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Finding the Fourth Proportional to 17,824.84, 26,736.72 and 6,733.24

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Solution

The fourth proportional to 17,824.84, 26,736.72 and 6,733.24 is: 10,099.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824.84 : 26,736.72 = 6,733.24 : x
  2. Step 2: Convert to fraction form
    17,824.84/26,736.72 = 6,733.24/x
  3. Step 3: Cross multiply
    17,824.84x = 26,736.72 × 6,733.24
  4. Step 4: Simplify right side
    17,824.84x = 180,024,752.57
  5. Step 5: Solve for x
    x = 180,024,752.57/17,824.84
  6. Step 6: Final answer
    x = 10,099.66

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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.