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Finding the Fourth Proportional to 16,195.19, 24,305.75 and 8,406.23

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Solution

The fourth proportional to 16,195.19, 24,305.75 and 8,406.23 is: 12,616.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,195.19 : 24,305.75 = 8,406.23 : x
  2. Step 2: Convert to fraction form
    16,195.19/24,305.75 = 8,406.23/x
  3. Step 3: Cross multiply
    16,195.19x = 24,305.75 × 8,406.23
  4. Step 4: Simplify right side
    16,195.19x = 204,319,682.79
  5. Step 5: Solve for x
    x = 204,319,682.79/16,195.19
  6. Step 6: Final answer
    x = 12,616.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.