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Finding the Fourth Proportional to 12,671.72, 19,007.60 and 3,438.44

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Solution

The fourth proportional to 12,671.72, 19,007.60 and 3,438.44 is: 5,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,671.72 : 19,007.60 = 3,438.44 : x
  2. Step 2: Convert to fraction form
    12,671.72/19,007.60 = 3,438.44/x
  3. Step 3: Cross multiply
    12,671.72x = 19,007.60 × 3,438.44
  4. Step 4: Simplify right side
    12,671.72x = 65,356,492.14
  5. Step 5: Solve for x
    x = 65,356,492.14/12,671.72
  6. Step 6: Final answer
    x = 5,157.67

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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.