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Finding the Fourth Proportional to 23,213.66, 32,035.50 and 13,654.26

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Solution

The fourth proportional to 23,213.66, 32,035.50 and 13,654.26 is: 18,843.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,213.66 : 32,035.50 = 13,654.26 : x
  2. Step 2: Convert to fraction form
    23,213.66/32,035.50 = 13,654.26/x
  3. Step 3: Cross multiply
    23,213.66x = 32,035.50 × 13,654.26
  4. Step 4: Simplify right side
    23,213.66x = 437,421,046.23
  5. Step 5: Solve for x
    x = 437,421,046.23/23,213.66
  6. Step 6: Final answer
    x = 18,843.26

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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.