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Finding the Fourth Proportional to 12,395.88, 18,596.12 and 7,406.96

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Solution

The fourth proportional to 12,395.88, 18,596.12 and 7,406.96 is: 11,111.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,395.88 : 18,596.12 = 7,406.96 : x
  2. Step 2: Convert to fraction form
    12,395.88/18,596.12 = 7,406.96/x
  3. Step 3: Cross multiply
    12,395.88x = 18,596.12 × 7,406.96
  4. Step 4: Simplify right side
    12,395.88x = 137,740,586.98
  5. Step 5: Solve for x
    x = 137,740,586.98/12,395.88
  6. Step 6: Final answer
    x = 11,111.80

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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.