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Finding the Fourth Proportional to 13,740.54, 20,608.23 and 5,841.60

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Solution

The fourth proportional to 13,740.54, 20,608.23 and 5,841.60 is: 8,761.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740.54 : 20,608.23 = 5,841.60 : x
  2. Step 2: Convert to fraction form
    13,740.54/20,608.23 = 5,841.60/x
  3. Step 3: Cross multiply
    13,740.54x = 20,608.23 × 5,841.60
  4. Step 4: Simplify right side
    13,740.54x = 120,385,036.37
  5. Step 5: Solve for x
    x = 120,385,036.37/13,740.54
  6. Step 6: Final answer
    x = 8,761.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.