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Finding the Fourth Proportional to 17,584.48, 24,266.60 and 9,626.76

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Solution

The fourth proportional to 17,584.48, 24,266.60 and 9,626.76 is: 13,284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,584.48 : 24,266.60 = 9,626.76 : x
  2. Step 2: Convert to fraction form
    17,584.48/24,266.60 = 9,626.76/x
  3. Step 3: Cross multiply
    17,584.48x = 24,266.60 × 9,626.76
  4. Step 4: Simplify right side
    17,584.48x = 233,608,734.22
  5. Step 5: Solve for x
    x = 233,608,734.22/17,584.48
  6. Step 6: Final answer
    x = 13,284.94

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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.