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Finding the Fourth Proportional to 12,416.83, 18,633.42 and 5,843.52

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Solution

The fourth proportional to 12,416.83, 18,633.42 and 5,843.52 is: 8,769.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.83 : 18,633.42 = 5,843.52 : x
  2. Step 2: Convert to fraction form
    12,416.83/18,633.42 = 5,843.52/x
  3. Step 3: Cross multiply
    12,416.83x = 18,633.42 × 5,843.52
  4. Step 4: Simplify right side
    12,416.83x = 108,884,762.44
  5. Step 5: Solve for x
    x = 108,884,762.44/12,416.83
  6. Step 6: Final answer
    x = 8,769.13

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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.