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Finding the Fourth Proportional to 17,814.24, 24,583.67 and 9,857.01

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Solution

The fourth proportional to 17,814.24, 24,583.67 and 9,857.01 is: 13,602.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,814.24 : 24,583.67 = 9,857.01 : x
  2. Step 2: Convert to fraction form
    17,814.24/24,583.67 = 9,857.01/x
  3. Step 3: Cross multiply
    17,814.24x = 24,583.67 × 9,857.01
  4. Step 4: Simplify right side
    17,814.24x = 242,321,481.03
  5. Step 5: Solve for x
    x = 242,321,481.03/17,814.24
  6. Step 6: Final answer
    x = 13,602.68

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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.