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Finding the Fourth Proportional to 12,106.74, 18,162.36 and 4,208.94

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Solution

The fourth proportional to 12,106.74, 18,162.36 and 4,208.94 is: 6,314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.74 : 18,162.36 = 4,208.94 : x
  2. Step 2: Convert to fraction form
    12,106.74/18,162.36 = 4,208.94/x
  3. Step 3: Cross multiply
    12,106.74x = 18,162.36 × 4,208.94
  4. Step 4: Simplify right side
    12,106.74x = 76,444,283.50
  5. Step 5: Solve for x
    x = 76,444,283.50/12,106.74
  6. Step 6: Final answer
    x = 6,314.19

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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.