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Finding the Fourth Proportional to 17,852.22, 24,635.10 and 9,893.97

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Solution

The fourth proportional to 17,852.22, 24,635.10 and 9,893.97 is: 13,653.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,852.22 : 24,635.10 = 9,893.97 : x
  2. Step 2: Convert to fraction form
    17,852.22/24,635.10 = 9,893.97/x
  3. Step 3: Cross multiply
    17,852.22x = 24,635.10 × 9,893.97
  4. Step 4: Simplify right side
    17,852.22x = 243,738,940.35
  5. Step 5: Solve for x
    x = 243,738,940.35/17,852.22
  6. Step 6: Final answer
    x = 13,653.14

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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.