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Finding the Fourth Proportional to 17,982.14, 24,817.20 and 10,814.36

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Solution

The fourth proportional to 17,982.14, 24,817.20 and 10,814.36 is: 14,924.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,982.14 : 24,817.20 = 10,814.36 : x
  2. Step 2: Convert to fraction form
    17,982.14/24,817.20 = 10,814.36/x
  3. Step 3: Cross multiply
    17,982.14x = 24,817.20 × 10,814.36
  4. Step 4: Simplify right side
    17,982.14x = 268,382,134.99
  5. Step 5: Solve for x
    x = 268,382,134.99/17,982.14
  6. Step 6: Final answer
    x = 14,924.93

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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.