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Finding the Fourth Proportional to 23,808.30, 32,855.20 and 13,736.62

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Solution

The fourth proportional to 23,808.30, 32,855.20 and 13,736.62 is: 18,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,808.30 : 32,855.20 = 13,736.62 : x
  2. Step 2: Convert to fraction form
    23,808.30/32,855.20 = 13,736.62/x
  3. Step 3: Cross multiply
    23,808.30x = 32,855.20 × 13,736.62
  4. Step 4: Simplify right side
    23,808.30x = 451,319,397.42
  5. Step 5: Solve for x
    x = 451,319,397.42/23,808.30
  6. Step 6: Final answer
    x = 18,956.39

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Why These Related Problems?

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