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Finding the Fourth Proportional to 17,741.97, 24,485.03 and 9,784.19

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Solution

The fourth proportional to 17,741.97, 24,485.03 and 9,784.19 is: 13,502.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,741.97 : 24,485.03 = 9,784.19 : x
  2. Step 2: Convert to fraction form
    17,741.97/24,485.03 = 9,784.19/x
  3. Step 3: Cross multiply
    17,741.97x = 24,485.03 × 9,784.19
  4. Step 4: Simplify right side
    17,741.97x = 239,566,185.68
  5. Step 5: Solve for x
    x = 239,566,185.68/17,741.97
  6. Step 6: Final answer
    x = 13,502.80

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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.