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Finding the Fourth Proportional to 20,678.84, 31,021.12 and 6,635.57

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Solution

The fourth proportional to 20,678.84, 31,021.12 and 6,635.57 is: 9,954.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,678.84 : 31,021.12 = 6,635.57 : x
  2. Step 2: Convert to fraction form
    20,678.84/31,021.12 = 6,635.57/x
  3. Step 3: Cross multiply
    20,678.84x = 31,021.12 × 6,635.57
  4. Step 4: Simplify right side
    20,678.84x = 205,842,658.13
  5. Step 5: Solve for x
    x = 205,842,658.13/20,678.84
  6. Step 6: Final answer
    x = 9,954.27

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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.