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Finding the Fourth Proportional to 17,044.89, 23,523.77 and 9,977.24

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Solution

The fourth proportional to 17,044.89, 23,523.77 and 9,977.24 is: 13,769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,044.89 : 23,523.77 = 9,977.24 : x
  2. Step 2: Convert to fraction form
    17,044.89/23,523.77 = 9,977.24/x
  3. Step 3: Cross multiply
    17,044.89x = 23,523.77 × 9,977.24
  4. Step 4: Simplify right side
    17,044.89x = 234,702,298.99
  5. Step 5: Solve for x
    x = 234,702,298.99/17,044.89
  6. Step 6: Final answer
    x = 13,769.66

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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.