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Finding the Fourth Proportional to 17,743.60, 26,615.40 and 8,380.54

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Solution

The fourth proportional to 17,743.60, 26,615.40 and 8,380.54 is: 12,570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,743.60 : 26,615.40 = 8,380.54 : x
  2. Step 2: Convert to fraction form
    17,743.60/26,615.40 = 8,380.54/x
  3. Step 3: Cross multiply
    17,743.60x = 26,615.40 × 8,380.54
  4. Step 4: Simplify right side
    17,743.60x = 223,051,424.32
  5. Step 5: Solve for x
    x = 223,051,424.32/17,743.60
  6. Step 6: Final answer
    x = 12,570.81

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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.