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Finding the Fourth Proportional to 17,605.72, 24,295.50 and 9,647.77

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Solution

The fourth proportional to 17,605.72, 24,295.50 and 9,647.77 is: 13,313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,605.72 : 24,295.50 = 9,647.77 : x
  2. Step 2: Convert to fraction form
    17,605.72/24,295.50 = 9,647.77/x
  3. Step 3: Cross multiply
    17,605.72x = 24,295.50 × 9,647.77
  4. Step 4: Simplify right side
    17,605.72x = 234,397,396.04
  5. Step 5: Solve for x
    x = 234,397,396.04/17,605.72
  6. Step 6: Final answer
    x = 13,313.71

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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.