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Finding the Fourth Proportional to 20,757.24, 31,116.24 and 9,658.08

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Solution

The fourth proportional to 20,757.24, 31,116.24 and 9,658.08 is: 14,477.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,757.24 : 31,116.24 = 9,658.08 : x
  2. Step 2: Convert to fraction form
    20,757.24/31,116.24 = 9,658.08/x
  3. Step 3: Cross multiply
    20,757.24x = 31,116.24 × 9,658.08
  4. Step 4: Simplify right side
    20,757.24x = 300,523,135.22
  5. Step 5: Solve for x
    x = 300,523,135.22/20,757.24
  6. Step 6: Final answer
    x = 14,477.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.