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Finding the Fourth Proportional to 17,851.94, 24,633.41 and 9,894.09

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Solution

The fourth proportional to 17,851.94, 24,633.41 and 9,894.09 is: 13,652.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,851.94 : 24,633.41 = 9,894.09 : x
  2. Step 2: Convert to fraction form
    17,851.94/24,633.41 = 9,894.09/x
  3. Step 3: Cross multiply
    17,851.94x = 24,633.41 × 9,894.09
  4. Step 4: Simplify right side
    17,851.94x = 243,725,126.08
  5. Step 5: Solve for x
    x = 243,725,126.08/17,851.94
  6. Step 6: Final answer
    x = 13,652.59

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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.