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Finding the Fourth Proportional to 12,202, 16,839.12 and 7,485.28

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Solution

The fourth proportional to 12,202, 16,839.12 and 7,485.28 is: 10,329.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202 : 16,839.12 = 7,485.28 : x
  2. Step 2: Convert to fraction form
    12,202/16,839.12 = 7,485.28/x
  3. Step 3: Cross multiply
    12,202x = 16,839.12 × 7,485.28
  4. Step 4: Simplify right side
    12,202x = 126,045,528.15
  5. Step 5: Solve for x
    x = 126,045,528.15/12,202
  6. Step 6: Final answer
    x = 10,329.91

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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.