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Finding the Fourth Proportional to 17,605.09, 24,295.17 and 9,647.47

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Solution

The fourth proportional to 17,605.09, 24,295.17 and 9,647.47 is: 13,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,605.09 : 24,295.17 = 9,647.47 : x
  2. Step 2: Convert to fraction form
    17,605.09/24,295.17 = 9,647.47/x
  3. Step 3: Cross multiply
    17,605.09x = 24,295.17 × 9,647.47
  4. Step 4: Simplify right side
    17,605.09x = 234,386,923.72
  5. Step 5: Solve for x
    x = 234,386,923.72/17,605.09
  6. Step 6: Final answer
    x = 13,313.59

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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.