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Finding the Fourth Proportional to 24,782.94, 37,169.46 and 9,196.92

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Solution

The fourth proportional to 24,782.94, 37,169.46 and 9,196.92 is: 13,793.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782.94 : 37,169.46 = 9,196.92 : x
  2. Step 2: Convert to fraction form
    24,782.94/37,169.46 = 9,196.92/x
  3. Step 3: Cross multiply
    24,782.94x = 37,169.46 × 9,196.92
  4. Step 4: Simplify right side
    24,782.94x = 341,844,550.06
  5. Step 5: Solve for x
    x = 341,844,550.06/24,782.94
  6. Step 6: Final answer
    x = 13,793.54

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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.