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Finding the Fourth Proportional to 16,690.54, 23,031.37 and 9,974.83

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Solution

The fourth proportional to 16,690.54, 23,031.37 and 9,974.83 is: 13,764.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,690.54 : 23,031.37 = 9,974.83 : x
  2. Step 2: Convert to fraction form
    16,690.54/23,031.37 = 9,974.83/x
  3. Step 3: Cross multiply
    16,690.54x = 23,031.37 × 9,974.83
  4. Step 4: Simplify right side
    16,690.54x = 229,734,000.42
  5. Step 5: Solve for x
    x = 229,734,000.42/16,690.54
  6. Step 6: Final answer
    x = 13,764.32

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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.