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Finding the Fourth Proportional to 12,618, 18,914.18 and 5,226.48

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Solution

The fourth proportional to 12,618, 18,914.18 and 5,226.48 is: 7,834.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,618 : 18,914.18 = 5,226.48 : x
  2. Step 2: Convert to fraction form
    12,618/18,914.18 = 5,226.48/x
  3. Step 3: Cross multiply
    12,618x = 18,914.18 × 5,226.48
  4. Step 4: Simplify right side
    12,618x = 98,854,557.35
  5. Step 5: Solve for x
    x = 98,854,557.35/12,618
  6. Step 6: Final answer
    x = 7,834.41

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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.