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Finding the Fourth Proportional to 12,194.94, 18,292.34 and 4,295.63

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Solution

The fourth proportional to 12,194.94, 18,292.34 and 4,295.63 is: 6,443.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.94 : 18,292.34 = 4,295.63 : x
  2. Step 2: Convert to fraction form
    12,194.94/18,292.34 = 4,295.63/x
  3. Step 3: Cross multiply
    12,194.94x = 18,292.34 × 4,295.63
  4. Step 4: Simplify right side
    12,194.94x = 78,577,011.53
  5. Step 5: Solve for x
    x = 78,577,011.53/12,194.94
  6. Step 6: Final answer
    x = 6,443.41

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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.