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Finding the Fourth Proportional to 12,940.57, 19,411.24 and 3,580.67

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Solution

The fourth proportional to 12,940.57, 19,411.24 and 3,580.67 is: 5,371.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940.57 : 19,411.24 = 3,580.67 : x
  2. Step 2: Convert to fraction form
    12,940.57/19,411.24 = 3,580.67/x
  3. Step 3: Cross multiply
    12,940.57x = 19,411.24 × 3,580.67
  4. Step 4: Simplify right side
    12,940.57x = 69,505,129.77
  5. Step 5: Solve for x
    x = 69,505,129.77/12,940.57
  6. Step 6: Final answer
    x = 5,371.10

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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.