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Finding the Fourth Proportional to 12,548.35, 18,817.74 and 4,226.14

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Solution

The fourth proportional to 12,548.35, 18,817.74 and 4,226.14 is: 6,337.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,548.35 : 18,817.74 = 4,226.14 : x
  2. Step 2: Convert to fraction form
    12,548.35/18,817.74 = 4,226.14/x
  3. Step 3: Cross multiply
    12,548.35x = 18,817.74 × 4,226.14
  4. Step 4: Simplify right side
    12,548.35x = 79,526,309.63
  5. Step 5: Solve for x
    x = 79,526,309.63/12,548.35
  6. Step 6: Final answer
    x = 6,337.59

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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.