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Finding the Fourth Proportional to 12,209.14, 16,848.63 and 6,620.14

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Solution

The fourth proportional to 12,209.14, 16,848.63 and 6,620.14 is: 9,135.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.14 : 16,848.63 = 6,620.14 : x
  2. Step 2: Convert to fraction form
    12,209.14/16,848.63 = 6,620.14/x
  3. Step 3: Cross multiply
    12,209.14x = 16,848.63 × 6,620.14
  4. Step 4: Simplify right side
    12,209.14x = 111,540,289.41
  5. Step 5: Solve for x
    x = 111,540,289.41/12,209.14
  6. Step 6: Final answer
    x = 9,135.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.