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Finding the Fourth Proportional to 12,209, 16,839.72 and 7,952.24

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Solution

The fourth proportional to 12,209, 16,839.72 and 7,952.24 is: 10,968.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209 : 16,839.72 = 7,952.24 : x
  2. Step 2: Convert to fraction form
    12,209/16,839.72 = 7,952.24/x
  3. Step 3: Cross multiply
    12,209x = 16,839.72 × 7,952.24
  4. Step 4: Simplify right side
    12,209x = 133,913,494.97
  5. Step 5: Solve for x
    x = 133,913,494.97/12,209
  6. Step 6: Final answer
    x = 10,968.42

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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.