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Finding the Fourth Proportional to 17,902.17, 26,840.45 and 8,409.17

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Solution

The fourth proportional to 17,902.17, 26,840.45 and 8,409.17 is: 12,607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,902.17 : 26,840.45 = 8,409.17 : x
  2. Step 2: Convert to fraction form
    17,902.17/26,840.45 = 8,409.17/x
  3. Step 3: Cross multiply
    17,902.17x = 26,840.45 × 8,409.17
  4. Step 4: Simplify right side
    17,902.17x = 225,705,995.05
  5. Step 5: Solve for x
    x = 225,705,995.05/17,902.17
  6. Step 6: Final answer
    x = 12,607.75

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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.