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Finding the Fourth Proportional to 20,798.24, 31,191.75 and 9,694.08

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Solution

The fourth proportional to 20,798.24, 31,191.75 and 9,694.08 is: 14,538.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,798.24 : 31,191.75 = 9,694.08 : x
  2. Step 2: Convert to fraction form
    20,798.24/31,191.75 = 9,694.08/x
  3. Step 3: Cross multiply
    20,798.24x = 31,191.75 × 9,694.08
  4. Step 4: Simplify right side
    20,798.24x = 302,375,319.84
  5. Step 5: Solve for x
    x = 302,375,319.84/20,798.24
  6. Step 6: Final answer
    x = 14,538.51

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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.