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Finding the Fourth Proportional to 23,794.92, 32,837.04 and 13,184.36

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Solution

The fourth proportional to 23,794.92, 32,837.04 and 13,184.36 is: 18,194.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,794.92 : 32,837.04 = 13,184.36 : x
  2. Step 2: Convert to fraction form
    23,794.92/32,837.04 = 13,184.36/x
  3. Step 3: Cross multiply
    23,794.92x = 32,837.04 × 13,184.36
  4. Step 4: Simplify right side
    23,794.92x = 432,935,356.69
  5. Step 5: Solve for x
    x = 432,935,356.69/23,794.92
  6. Step 6: Final answer
    x = 18,194.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.