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Finding the Fourth Proportional to 12,813, 19,222.34 and 3,929.57

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Solution

The fourth proportional to 12,813, 19,222.34 and 3,929.57 is: 5,895.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813 : 19,222.34 = 3,929.57 : x
  2. Step 2: Convert to fraction form
    12,813/19,222.34 = 3,929.57/x
  3. Step 3: Cross multiply
    12,813x = 19,222.34 × 3,929.57
  4. Step 4: Simplify right side
    12,813x = 75,535,414.83
  5. Step 5: Solve for x
    x = 75,535,414.83/12,813
  6. Step 6: Final answer
    x = 5,895.22

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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.