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Finding the Fourth Proportional to 12,376.12, 18,539.44 and 7,443.06

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Solution

The fourth proportional to 12,376.12, 18,539.44 and 7,443.06 is: 11,149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.12 : 18,539.44 = 7,443.06 : x
  2. Step 2: Convert to fraction form
    12,376.12/18,539.44 = 7,443.06/x
  3. Step 3: Cross multiply
    12,376.12x = 18,539.44 × 7,443.06
  4. Step 4: Simplify right side
    12,376.12x = 137,990,164.29
  5. Step 5: Solve for x
    x = 137,990,164.29/12,376.12
  6. Step 6: Final answer
    x = 11,149.71

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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.