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Finding the Fourth Proportional to 12,269.07, 18,409.07 and 6,424.31

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Solution

The fourth proportional to 12,269.07, 18,409.07 and 6,424.31 is: 9,639.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269.07 : 18,409.07 = 6,424.31 : x
  2. Step 2: Convert to fraction form
    12,269.07/18,409.07 = 6,424.31/x
  3. Step 3: Cross multiply
    12,269.07x = 18,409.07 × 6,424.31
  4. Step 4: Simplify right side
    12,269.07x = 118,265,634.58
  5. Step 5: Solve for x
    x = 118,265,634.58/12,269.07
  6. Step 6: Final answer
    x = 9,639.33

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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.