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Finding the Fourth Proportional to 16,690.41, 23,031.20 and 9,974.70

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Solution

The fourth proportional to 16,690.41, 23,031.20 and 9,974.70 is: 13,764.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,690.41 : 23,031.20 = 9,974.70 : x
  2. Step 2: Convert to fraction form
    16,690.41/23,031.20 = 9,974.70/x
  3. Step 3: Cross multiply
    16,690.41x = 23,031.20 × 9,974.70
  4. Step 4: Simplify right side
    16,690.41x = 229,729,335.58
  5. Step 5: Solve for x
    x = 229,729,335.58/16,690.41
  6. Step 6: Final answer
    x = 13,764.15

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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.