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Finding the Fourth Proportional to 16,813.12, 23,199.04 and 9,736.96

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Solution

The fourth proportional to 16,813.12, 23,199.04 and 9,736.96 is: 13,435.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,813.12 : 23,199.04 = 9,736.96 : x
  2. Step 2: Convert to fraction form
    16,813.12/23,199.04 = 9,736.96/x
  3. Step 3: Cross multiply
    16,813.12x = 23,199.04 × 9,736.96
  4. Step 4: Simplify right side
    16,813.12x = 225,888,124.52
  5. Step 5: Solve for x
    x = 225,888,124.52/16,813.12
  6. Step 6: Final answer
    x = 13,435.23

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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.