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Finding the Fourth Proportional to 22,016, 30,382.10 and 12,080

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Solution

The fourth proportional to 22,016, 30,382.10 and 12,080 is: 16,670.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,016 : 30,382.10 = 12,080 : x
  2. Step 2: Convert to fraction form
    22,016/30,382.10 = 12,080/x
  3. Step 3: Cross multiply
    22,016x = 30,382.10 × 12,080
  4. Step 4: Simplify right side
    22,016x = 367,015,768
  5. Step 5: Solve for x
    x = 367,015,768/22,016
  6. Step 6: Final answer
    x = 16,670.41

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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.