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Finding the Fourth Proportional to 17,638.49, 26,442.17 and 13,496.99

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Solution

The fourth proportional to 17,638.49, 26,442.17 and 13,496.99 is: 20,233.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.49 : 26,442.17 = 13,496.99 : x
  2. Step 2: Convert to fraction form
    17,638.49/26,442.17 = 13,496.99/x
  3. Step 3: Cross multiply
    17,638.49x = 26,442.17 × 13,496.99
  4. Step 4: Simplify right side
    17,638.49x = 356,889,504.37
  5. Step 5: Solve for x
    x = 356,889,504.37/17,638.49
  6. Step 6: Final answer
    x = 20,233.57

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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.