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Finding the Fourth Proportional to 12,902.72, 19,321.24 and 8,506.84

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Solution

The fourth proportional to 12,902.72, 19,321.24 and 8,506.84 is: 12,738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.72 : 19,321.24 = 8,506.84 : x
  2. Step 2: Convert to fraction form
    12,902.72/19,321.24 = 8,506.84/x
  3. Step 3: Cross multiply
    12,902.72x = 19,321.24 × 8,506.84
  4. Step 4: Simplify right side
    12,902.72x = 164,362,697.28
  5. Step 5: Solve for x
    x = 164,362,697.28/12,902.72
  6. Step 6: Final answer
    x = 12,738.61

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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.