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Finding the Fourth Proportional to 17,857.45, 24,643.62 and 9,790.57

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Solution

The fourth proportional to 17,857.45, 24,643.62 and 9,790.57 is: 13,511.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.45 : 24,643.62 = 9,790.57 : x
  2. Step 2: Convert to fraction form
    17,857.45/24,643.62 = 9,790.57/x
  3. Step 3: Cross multiply
    17,857.45x = 24,643.62 × 9,790.57
  4. Step 4: Simplify right side
    17,857.45x = 241,275,086.66
  5. Step 5: Solve for x
    x = 241,275,086.66/17,857.45
  6. Step 6: Final answer
    x = 13,511.17

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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.