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Finding the Fourth Proportional to 16,409.35, 24,612.83 and 6,412.22

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Solution

The fourth proportional to 16,409.35, 24,612.83 and 6,412.22 is: 9,617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.35 : 24,612.83 = 6,412.22 : x
  2. Step 2: Convert to fraction form
    16,409.35/24,612.83 = 6,412.22/x
  3. Step 3: Cross multiply
    16,409.35x = 24,612.83 × 6,412.22
  4. Step 4: Simplify right side
    16,409.35x = 157,822,866.05
  5. Step 5: Solve for x
    x = 157,822,866.05/16,409.35
  6. Step 6: Final answer
    x = 9,617.86

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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.