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Finding the Fourth Proportional to 16,852.42, 23,257.43 and 9,684.64

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Solution

The fourth proportional to 16,852.42, 23,257.43 and 9,684.64 is: 13,365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852.42 : 23,257.43 = 9,684.64 : x
  2. Step 2: Convert to fraction form
    16,852.42/23,257.43 = 9,684.64/x
  3. Step 3: Cross multiply
    16,852.42x = 23,257.43 × 9,684.64
  4. Step 4: Simplify right side
    16,852.42x = 225,239,836.88
  5. Step 5: Solve for x
    x = 225,239,836.88/16,852.42
  6. Step 6: Final answer
    x = 13,365.43

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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.