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Finding the Fourth Proportional to 16,684.32, 23,022.80 and 9,611.20

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Solution

The fourth proportional to 16,684.32, 23,022.80 and 9,611.20 is: 13,262.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,684.32 : 23,022.80 = 9,611.20 : x
  2. Step 2: Convert to fraction form
    16,684.32/23,022.80 = 9,611.20/x
  3. Step 3: Cross multiply
    16,684.32x = 23,022.80 × 9,611.20
  4. Step 4: Simplify right side
    16,684.32x = 221,276,735.36
  5. Step 5: Solve for x
    x = 221,276,735.36/16,684.32
  6. Step 6: Final answer
    x = 13,262.56

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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.