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Finding the Fourth Proportional to 23,198.74, 34,798.38 and 6,559.30

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Solution

The fourth proportional to 23,198.74, 34,798.38 and 6,559.30 is: 9,839.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,198.74 : 34,798.38 = 6,559.30 : x
  2. Step 2: Convert to fraction form
    23,198.74/34,798.38 = 6,559.30/x
  3. Step 3: Cross multiply
    23,198.74x = 34,798.38 × 6,559.30
  4. Step 4: Simplify right side
    23,198.74x = 228,253,013.93
  5. Step 5: Solve for x
    x = 228,253,013.93/23,198.74
  6. Step 6: Final answer
    x = 9,839.03

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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.