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Finding the Fourth Proportional to 12,277.62, 18,416.43 and 4,495.14

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Solution

The fourth proportional to 12,277.62, 18,416.43 and 4,495.14 is: 6,742.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.62 : 18,416.43 = 4,495.14 : x
  2. Step 2: Convert to fraction form
    12,277.62/18,416.43 = 4,495.14/x
  3. Step 3: Cross multiply
    12,277.62x = 18,416.43 × 4,495.14
  4. Step 4: Simplify right side
    12,277.62x = 82,784,431.15
  5. Step 5: Solve for x
    x = 82,784,431.15/12,277.62
  6. Step 6: Final answer
    x = 6,742.71

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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.