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Finding the Fourth Proportional to 16,879.68, 23,284.32 and 9,805.20

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Solution

The fourth proportional to 16,879.68, 23,284.32 and 9,805.20 is: 13,525.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,879.68 : 23,284.32 = 9,805.20 : x
  2. Step 2: Convert to fraction form
    16,879.68/23,284.32 = 9,805.20/x
  3. Step 3: Cross multiply
    16,879.68x = 23,284.32 × 9,805.20
  4. Step 4: Simplify right side
    16,879.68x = 228,307,414.46
  5. Step 5: Solve for x
    x = 228,307,414.46/16,879.68
  6. Step 6: Final answer
    x = 13,525.58

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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.