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Finding the Fourth Proportional to 17,976.24, 24,805.64 and 10,020.32

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Solution

The fourth proportional to 17,976.24, 24,805.64 and 10,020.32 is: 13,827.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,976.24 : 24,805.64 = 10,020.32 : x
  2. Step 2: Convert to fraction form
    17,976.24/24,805.64 = 10,020.32/x
  3. Step 3: Cross multiply
    17,976.24x = 24,805.64 × 10,020.32
  4. Step 4: Simplify right side
    17,976.24x = 248,560,450.60
  5. Step 5: Solve for x
    x = 248,560,450.60/17,976.24
  6. Step 6: Final answer
    x = 13,827.17

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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.