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Finding the Fourth Proportional to 23,694.86, 35,542.33 and 6,164.66

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Solution

The fourth proportional to 23,694.86, 35,542.33 and 6,164.66 is: 9,246.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,694.86 : 35,542.33 = 6,164.66 : x
  2. Step 2: Convert to fraction form
    23,694.86/35,542.33 = 6,164.66/x
  3. Step 3: Cross multiply
    23,694.86x = 35,542.33 × 6,164.66
  4. Step 4: Simplify right side
    23,694.86x = 219,106,202.35
  5. Step 5: Solve for x
    x = 219,106,202.35/23,694.86
  6. Step 6: Final answer
    x = 9,246.99

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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.