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Finding the Fourth Proportional to 17,504.64, 26,236.80 and 7,641.60

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Solution

The fourth proportional to 17,504.64, 26,236.80 and 7,641.60 is: 11,453.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,504.64 : 26,236.80 = 7,641.60 : x
  2. Step 2: Convert to fraction form
    17,504.64/26,236.80 = 7,641.60/x
  3. Step 3: Cross multiply
    17,504.64x = 26,236.80 × 7,641.60
  4. Step 4: Simplify right side
    17,504.64x = 200,491,130.88
  5. Step 5: Solve for x
    x = 200,491,130.88/17,504.64
  6. Step 6: Final answer
    x = 11,453.60

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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.