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Finding the Fourth Proportional to 16,881.78, 23,311.80 and 10,519.23

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Solution

The fourth proportional to 16,881.78, 23,311.80 and 10,519.23 is: 14,525.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,881.78 : 23,311.80 = 10,519.23 : x
  2. Step 2: Convert to fraction form
    16,881.78/23,311.80 = 10,519.23/x
  3. Step 3: Cross multiply
    16,881.78x = 23,311.80 × 10,519.23
  4. Step 4: Simplify right side
    16,881.78x = 245,222,185.91
  5. Step 5: Solve for x
    x = 245,222,185.91/16,881.78
  6. Step 6: Final answer
    x = 14,525.85

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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.