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Finding the Fourth Proportional to 17,923.28, 26,885.16 and 6,830.57

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Solution

The fourth proportional to 17,923.28, 26,885.16 and 6,830.57 is: 10,245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,923.28 : 26,885.16 = 6,830.57 : x
  2. Step 2: Convert to fraction form
    17,923.28/26,885.16 = 6,830.57/x
  3. Step 3: Cross multiply
    17,923.28x = 26,885.16 × 6,830.57
  4. Step 4: Simplify right side
    17,923.28x = 183,640,832.92
  5. Step 5: Solve for x
    x = 183,640,832.92/17,923.28
  6. Step 6: Final answer
    x = 10,245.94

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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.