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Finding the Fourth Proportional to 23,843.56, 32,902.58 and 13,233.20

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Solution

The fourth proportional to 23,843.56, 32,902.58 and 13,233.20 is: 18,260.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843.56 : 32,902.58 = 13,233.20 : x
  2. Step 2: Convert to fraction form
    23,843.56/32,902.58 = 13,233.20/x
  3. Step 3: Cross multiply
    23,843.56x = 32,902.58 × 13,233.20
  4. Step 4: Simplify right side
    23,843.56x = 435,406,421.66
  5. Step 5: Solve for x
    x = 435,406,421.66/23,843.56
  6. Step 6: Final answer
    x = 18,260.97

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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.