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Finding the Fourth Proportional to 17,857.51, 24,642.82 and 9,790.99

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Solution

The fourth proportional to 17,857.51, 24,642.82 and 9,790.99 is: 13,511.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.51 : 24,642.82 = 9,790.99 : x
  2. Step 2: Convert to fraction form
    17,857.51/24,642.82 = 9,790.99/x
  3. Step 3: Cross multiply
    17,857.51x = 24,642.82 × 9,790.99
  4. Step 4: Simplify right side
    17,857.51x = 241,277,604.19
  5. Step 5: Solve for x
    x = 241,277,604.19/17,857.51
  6. Step 6: Final answer
    x = 13,511.27

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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.