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Finding the Fourth Proportional to 17,853.48, 24,637.10 and 9,786.96

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Solution

The fourth proportional to 17,853.48, 24,637.10 and 9,786.96 is: 13,505.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.48 : 24,637.10 = 9,786.96 : x
  2. Step 2: Convert to fraction form
    17,853.48/24,637.10 = 9,786.96/x
  3. Step 3: Cross multiply
    17,853.48x = 24,637.10 × 9,786.96
  4. Step 4: Simplify right side
    17,853.48x = 241,122,263.28
  5. Step 5: Solve for x
    x = 241,122,263.28/17,853.48
  6. Step 6: Final answer
    x = 13,505.62

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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.