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Finding the Fourth Proportional to 20,808.84, 31,195.98 and 9,709.68

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Solution

The fourth proportional to 20,808.84, 31,195.98 and 9,709.68 is: 14,556.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,808.84 : 31,195.98 = 9,709.68 : x
  2. Step 2: Convert to fraction form
    20,808.84/31,195.98 = 9,709.68/x
  3. Step 3: Cross multiply
    20,808.84x = 31,195.98 × 9,709.68
  4. Step 4: Simplify right side
    20,808.84x = 302,902,983.09
  5. Step 5: Solve for x
    x = 302,902,983.09/20,808.84
  6. Step 6: Final answer
    x = 14,556.46

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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.