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Finding the Fourth Proportional to 16,882.83, 23,297.63 and 9,808.70

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Solution

The fourth proportional to 16,882.83, 23,297.63 and 9,808.70 is: 13,535.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,882.83 : 23,297.63 = 9,808.70 : x
  2. Step 2: Convert to fraction form
    16,882.83/23,297.63 = 9,808.70/x
  3. Step 3: Cross multiply
    16,882.83x = 23,297.63 × 9,808.70
  4. Step 4: Simplify right side
    16,882.83x = 228,519,297.85
  5. Step 5: Solve for x
    x = 228,519,297.85/16,882.83
  6. Step 6: Final answer
    x = 13,535.60

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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.