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Finding the Fourth Proportional to 16,165.78, 22,284.69 and 9,873.94

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Solution

The fourth proportional to 16,165.78, 22,284.69 and 9,873.94 is: 13,611.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.78 : 22,284.69 = 9,873.94 : x
  2. Step 2: Convert to fraction form
    16,165.78/22,284.69 = 9,873.94/x
  3. Step 3: Cross multiply
    16,165.78x = 22,284.69 × 9,873.94
  4. Step 4: Simplify right side
    16,165.78x = 220,037,691.98
  5. Step 5: Solve for x
    x = 220,037,691.98/16,165.78
  6. Step 6: Final answer
    x = 13,611.33

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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.