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Finding the Fourth Proportional to 17,235.81, 23,785.40 and 9,682.35

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Solution

The fourth proportional to 17,235.81, 23,785.40 and 9,682.35 is: 13,361.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,235.81 : 23,785.40 = 9,682.35 : x
  2. Step 2: Convert to fraction form
    17,235.81/23,785.40 = 9,682.35/x
  3. Step 3: Cross multiply
    17,235.81x = 23,785.40 × 9,682.35
  4. Step 4: Simplify right side
    17,235.81x = 230,298,519.28
  5. Step 5: Solve for x
    x = 230,298,519.28/17,235.81
  6. Step 6: Final answer
    x = 13,361.63

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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.