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Finding the Fourth Proportional to 12,202.39, 16,839.21 and 6,897.20

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Solution

The fourth proportional to 12,202.39, 16,839.21 and 6,897.20 is: 9,518.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.39 : 16,839.21 = 6,897.20 : x
  2. Step 2: Convert to fraction form
    12,202.39/16,839.21 = 6,897.20/x
  3. Step 3: Cross multiply
    12,202.39x = 16,839.21 × 6,897.20
  4. Step 4: Simplify right side
    12,202.39x = 116,143,315.02
  5. Step 5: Solve for x
    x = 116,143,315.02/12,202.39
  6. Step 6: Final answer
    x = 9,518.08

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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.