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Finding the Fourth Proportional to 23,808, 32,855.04 and 13,199.25

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Solution

The fourth proportional to 23,808, 32,855.04 and 13,199.25 is: 18,214.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,808 : 32,855.04 = 13,199.25 : x
  2. Step 2: Convert to fraction form
    23,808/32,855.04 = 13,199.25/x
  3. Step 3: Cross multiply
    23,808x = 32,855.04 × 13,199.25
  4. Step 4: Simplify right side
    23,808x = 433,661,886.72
  5. Step 5: Solve for x
    x = 433,661,886.72/23,808
  6. Step 6: Final answer
    x = 18,214.97

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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.