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Finding the Fourth Proportional to 17,741.76, 24,481.75 and 9,783.51

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Solution

The fourth proportional to 17,741.76, 24,481.75 and 9,783.51 is: 13,500.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,741.76 : 24,481.75 = 9,783.51 : x
  2. Step 2: Convert to fraction form
    17,741.76/24,481.75 = 9,783.51/x
  3. Step 3: Cross multiply
    17,741.76x = 24,481.75 × 9,783.51
  4. Step 4: Simplify right side
    17,741.76x = 239,517,445.94
  5. Step 5: Solve for x
    x = 239,517,445.94/17,741.76
  6. Step 6: Final answer
    x = 13,500.21

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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.