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Finding the Fourth Proportional to 16,012.12, 22,098.95 and 8,939

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Solution

The fourth proportional to 16,012.12, 22,098.95 and 8,939 is: 12,337.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,012.12 : 22,098.95 = 8,939 : x
  2. Step 2: Convert to fraction form
    16,012.12/22,098.95 = 8,939/x
  3. Step 3: Cross multiply
    16,012.12x = 22,098.95 × 8,939
  4. Step 4: Simplify right side
    16,012.12x = 197,542,514.05
  5. Step 5: Solve for x
    x = 197,542,514.05/16,012.12
  6. Step 6: Final answer
    x = 12,337.06

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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.