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Finding the Fourth Proportional to 16,406.34, 24,616.72 and 8,613.34

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Solution

The fourth proportional to 16,406.34, 24,616.72 and 8,613.34 is: 12,923.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.34 : 24,616.72 = 8,613.34 : x
  2. Step 2: Convert to fraction form
    16,406.34/24,616.72 = 8,613.34/x
  3. Step 3: Cross multiply
    16,406.34x = 24,616.72 × 8,613.34
  4. Step 4: Simplify right side
    16,406.34x = 212,032,179.04
  5. Step 5: Solve for x
    x = 212,032,179.04/16,406.34
  6. Step 6: Final answer
    x = 12,923.80

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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.