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Finding the Fourth Proportional to 23,673.16, 35,498.40 and 11,182.78

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Solution

The fourth proportional to 23,673.16, 35,498.40 and 11,182.78 is: 16,768.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,673.16 : 35,498.40 = 11,182.78 : x
  2. Step 2: Convert to fraction form
    23,673.16/35,498.40 = 11,182.78/x
  3. Step 3: Cross multiply
    23,673.16x = 35,498.40 × 11,182.78
  4. Step 4: Simplify right side
    23,673.16x = 396,970,797.55
  5. Step 5: Solve for x
    x = 396,970,797.55/23,673.16
  6. Step 6: Final answer
    x = 16,768.81

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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.