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Finding the Fourth Proportional to 12,596.20, 18,894.30 and 9,485.80

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Solution

The fourth proportional to 12,596.20, 18,894.30 and 9,485.80 is: 14,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.20 : 18,894.30 = 9,485.80 : x
  2. Step 2: Convert to fraction form
    12,596.20/18,894.30 = 9,485.80/x
  3. Step 3: Cross multiply
    12,596.20x = 18,894.30 × 9,485.80
  4. Step 4: Simplify right side
    12,596.20x = 179,227,550.94
  5. Step 5: Solve for x
    x = 179,227,550.94/12,596.20
  6. Step 6: Final answer
    x = 14,228.70

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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.