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Finding the Fourth Proportional to 12,441.98, 18,619.11 and 7,764.19

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Solution

The fourth proportional to 12,441.98, 18,619.11 and 7,764.19 is: 11,618.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,441.98 : 18,619.11 = 7,764.19 : x
  2. Step 2: Convert to fraction form
    12,441.98/18,619.11 = 7,764.19/x
  3. Step 3: Cross multiply
    12,441.98x = 18,619.11 × 7,764.19
  4. Step 4: Simplify right side
    12,441.98x = 144,562,214.58
  5. Step 5: Solve for x
    x = 144,562,214.58/12,441.98
  6. Step 6: Final answer
    x = 11,618.91

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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.