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Finding the Fourth Proportional to 24,473.08, 36,684.42 and 9,676

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Solution

The fourth proportional to 24,473.08, 36,684.42 and 9,676 is: 14,504.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,473.08 : 36,684.42 = 9,676 : x
  2. Step 2: Convert to fraction form
    24,473.08/36,684.42 = 9,676/x
  3. Step 3: Cross multiply
    24,473.08x = 36,684.42 × 9,676
  4. Step 4: Simplify right side
    24,473.08x = 354,958,447.92
  5. Step 5: Solve for x
    x = 354,958,447.92/24,473.08
  6. Step 6: Final answer
    x = 14,504.04

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Why These Related Problems?

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