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Finding the Fourth Proportional to 17,561.77, 24,236.89 and 9,605.14

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Solution

The fourth proportional to 17,561.77, 24,236.89 and 9,605.14 is: 13,255.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,561.77 : 24,236.89 = 9,605.14 : x
  2. Step 2: Convert to fraction form
    17,561.77/24,236.89 = 9,605.14/x
  3. Step 3: Cross multiply
    17,561.77x = 24,236.89 × 9,605.14
  4. Step 4: Simplify right side
    17,561.77x = 232,798,637.01
  5. Step 5: Solve for x
    x = 232,798,637.01/17,561.77
  6. Step 6: Final answer
    x = 13,255.99

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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.