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Finding the Fourth Proportional to 17,647.75, 24,352.68 and 9,688.33

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Solution

The fourth proportional to 17,647.75, 24,352.68 and 9,688.33 is: 13,369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.75 : 24,352.68 = 9,688.33 : x
  2. Step 2: Convert to fraction form
    17,647.75/24,352.68 = 9,688.33/x
  3. Step 3: Cross multiply
    17,647.75x = 24,352.68 × 9,688.33
  4. Step 4: Simplify right side
    17,647.75x = 235,936,800.22
  5. Step 5: Solve for x
    x = 235,936,800.22/17,647.75
  6. Step 6: Final answer
    x = 13,369.23

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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.