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Finding the Fourth Proportional to 12,478.14, 18,713.94 and 4,157.82

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Solution

The fourth proportional to 12,478.14, 18,713.94 and 4,157.82 is: 6,235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.14 : 18,713.94 = 4,157.82 : x
  2. Step 2: Convert to fraction form
    12,478.14/18,713.94 = 4,157.82/x
  3. Step 3: Cross multiply
    12,478.14x = 18,713.94 × 4,157.82
  4. Step 4: Simplify right side
    12,478.14x = 77,809,194.01
  5. Step 5: Solve for x
    x = 77,809,194.01/12,478.14
  6. Step 6: Final answer
    x = 6,235.64

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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.