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Finding the Fourth Proportional to 12,323.94, 18,496.23 and 6,404.46

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Solution

The fourth proportional to 12,323.94, 18,496.23 and 6,404.46 is: 9,612.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323.94 : 18,496.23 = 6,404.46 : x
  2. Step 2: Convert to fraction form
    12,323.94/18,496.23 = 6,404.46/x
  3. Step 3: Cross multiply
    12,323.94x = 18,496.23 × 6,404.46
  4. Step 4: Simplify right side
    12,323.94x = 118,458,365.19
  5. Step 5: Solve for x
    x = 118,458,365.19/12,323.94
  6. Step 6: Final answer
    x = 9,612.05

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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.