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Finding the Fourth Proportional to 17,853.22, 24,636.48 and 9,894.97

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Solution

The fourth proportional to 17,853.22, 24,636.48 and 9,894.97 is: 13,654.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.22 : 24,636.48 = 9,894.97 : x
  2. Step 2: Convert to fraction form
    17,853.22/24,636.48 = 9,894.97/x
  3. Step 3: Cross multiply
    17,853.22x = 24,636.48 × 9,894.97
  4. Step 4: Simplify right side
    17,853.22x = 243,777,230.51
  5. Step 5: Solve for x
    x = 243,777,230.51/17,853.22
  6. Step 6: Final answer
    x = 13,654.52

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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.