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Finding the Fourth Proportional to 12,872.45, 19,312.83 and 5,483.23

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Solution

The fourth proportional to 12,872.45, 19,312.83 and 5,483.23 is: 8,226.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.45 : 19,312.83 = 5,483.23 : x
  2. Step 2: Convert to fraction form
    12,872.45/19,312.83 = 5,483.23/x
  3. Step 3: Cross multiply
    12,872.45x = 19,312.83 × 5,483.23
  4. Step 4: Simplify right side
    12,872.45x = 105,896,640.56
  5. Step 5: Solve for x
    x = 105,896,640.56/12,872.45
  6. Step 6: Final answer
    x = 8,226.61

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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.