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Finding the Fourth Proportional to 12,416.43, 18,625.16 and 5,838.02

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Solution

The fourth proportional to 12,416.43, 18,625.16 and 5,838.02 is: 8,757.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.43 : 18,625.16 = 5,838.02 : x
  2. Step 2: Convert to fraction form
    12,416.43/18,625.16 = 5,838.02/x
  3. Step 3: Cross multiply
    12,416.43x = 18,625.16 × 5,838.02
  4. Step 4: Simplify right side
    12,416.43x = 108,734,056.58
  5. Step 5: Solve for x
    x = 108,734,056.58/12,416.43
  6. Step 6: Final answer
    x = 8,757.27

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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.