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Finding the Fourth Proportional to 12,124.50, 16,730.61 and 6,819.19

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Solution

The fourth proportional to 12,124.50, 16,730.61 and 6,819.19 is: 9,409.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,124.50 : 16,730.61 = 6,819.19 : x
  2. Step 2: Convert to fraction form
    12,124.50/16,730.61 = 6,819.19/x
  3. Step 3: Cross multiply
    12,124.50x = 16,730.61 × 6,819.19
  4. Step 4: Simplify right side
    12,124.50x = 114,089,208.41
  5. Step 5: Solve for x
    x = 114,089,208.41/12,124.50
  6. Step 6: Final answer
    x = 9,409.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.