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Finding the Fourth Proportional to 23,843.61, 32,902.74 and 13,232.61

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Solution

The fourth proportional to 23,843.61, 32,902.74 and 13,232.61 is: 18,260.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843.61 : 32,902.74 = 13,232.61 : x
  2. Step 2: Convert to fraction form
    23,843.61/32,902.74 = 13,232.61/x
  3. Step 3: Cross multiply
    23,843.61x = 32,902.74 × 13,232.61
  4. Step 4: Simplify right side
    23,843.61x = 435,389,126.35
  5. Step 5: Solve for x
    x = 435,389,126.35/23,843.61
  6. Step 6: Final answer
    x = 18,260.20

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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.