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Finding the Fourth Proportional to 12,902.72, 17,809.53 and 8,427.16

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Solution

The fourth proportional to 12,902.72, 17,809.53 and 8,427.16 is: 11,631.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.72 : 17,809.53 = 8,427.16 : x
  2. Step 2: Convert to fraction form
    12,902.72/17,809.53 = 8,427.16/x
  3. Step 3: Cross multiply
    12,902.72x = 17,809.53 × 8,427.16
  4. Step 4: Simplify right side
    12,902.72x = 150,083,716.70
  5. Step 5: Solve for x
    x = 150,083,716.70/12,902.72
  6. Step 6: Final answer
    x = 11,631.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.