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Finding the Fourth Proportional to 12,872.10, 19,271.76 and 8,180.48

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Solution

The fourth proportional to 12,872.10, 19,271.76 and 8,180.48 is: 12,247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.10 : 19,271.76 = 8,180.48 : x
  2. Step 2: Convert to fraction form
    12,872.10/19,271.76 = 8,180.48/x
  3. Step 3: Cross multiply
    12,872.10x = 19,271.76 × 8,180.48
  4. Step 4: Simplify right side
    12,872.10x = 157,652,264.75
  5. Step 5: Solve for x
    x = 157,652,264.75/12,872.10
  6. Step 6: Final answer
    x = 12,247.59

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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.