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Finding the Fourth Proportional to 23,794.62, 32,836.10 and 13,184.34

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Solution

The fourth proportional to 23,794.62, 32,836.10 and 13,184.34 is: 18,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,794.62 : 32,836.10 = 13,184.34 : x
  2. Step 2: Convert to fraction form
    23,794.62/32,836.10 = 13,184.34/x
  3. Step 3: Cross multiply
    23,794.62x = 32,836.10 × 13,184.34
  4. Step 4: Simplify right side
    23,794.62x = 432,922,306.67
  5. Step 5: Solve for x
    x = 432,922,306.67/23,794.62
  6. Step 6: Final answer
    x = 18,194.13

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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.