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Finding the Fourth Proportional to 20,830.71, 31,219.23 and 7,667.49

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Solution

The fourth proportional to 20,830.71, 31,219.23 and 7,667.49 is: 11,491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,830.71 : 31,219.23 = 7,667.49 : x
  2. Step 2: Convert to fraction form
    20,830.71/31,219.23 = 7,667.49/x
  3. Step 3: Cross multiply
    20,830.71x = 31,219.23 × 7,667.49
  4. Step 4: Simplify right side
    20,830.71x = 239,373,133.83
  5. Step 5: Solve for x
    x = 239,373,133.83/20,830.71
  6. Step 6: Final answer
    x = 11,491.36

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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.