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Finding the Fourth Proportional to 19,979.82, 27,583.20 and 12,024

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Solution

The fourth proportional to 19,979.82, 27,583.20 and 12,024 is: 16,599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,979.82 : 27,583.20 = 12,024 : x
  2. Step 2: Convert to fraction form
    19,979.82/27,583.20 = 12,024/x
  3. Step 3: Cross multiply
    19,979.82x = 27,583.20 × 12,024
  4. Step 4: Simplify right side
    19,979.82x = 331,660,396.80
  5. Step 5: Solve for x
    x = 331,660,396.80/19,979.82
  6. Step 6: Final answer
    x = 16,599.77

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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.