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Finding the Fourth Proportional to 23,841.54, 32,902.90 and 13,770.41

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Solution

The fourth proportional to 23,841.54, 32,902.90 and 13,770.41 is: 19,004.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,841.54 : 32,902.90 = 13,770.41 : x
  2. Step 2: Convert to fraction form
    23,841.54/32,902.90 = 13,770.41/x
  3. Step 3: Cross multiply
    23,841.54x = 32,902.90 × 13,770.41
  4. Step 4: Simplify right side
    23,841.54x = 453,086,224.25
  5. Step 5: Solve for x
    x = 453,086,224.25/23,841.54
  6. Step 6: Final answer
    x = 19,004.07

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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.