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Finding the Fourth Proportional to 12,084, 16,674.48 and 7,049.28

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Solution

The fourth proportional to 12,084, 16,674.48 and 7,049.28 is: 9,727.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084 : 16,674.48 = 7,049.28 : x
  2. Step 2: Convert to fraction form
    12,084/16,674.48 = 7,049.28/x
  3. Step 3: Cross multiply
    12,084x = 16,674.48 × 7,049.28
  4. Step 4: Simplify right side
    12,084x = 117,543,078.37
  5. Step 5: Solve for x
    x = 117,543,078.37/12,084
  6. Step 6: Final answer
    x = 9,727.17

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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.