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Finding the Fourth Proportional to 17,823.56, 26,738.94 and 6,137.24

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Solution

The fourth proportional to 17,823.56, 26,738.94 and 6,137.24 is: 9,207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823.56 : 26,738.94 = 6,137.24 : x
  2. Step 2: Convert to fraction form
    17,823.56/26,738.94 = 6,137.24/x
  3. Step 3: Cross multiply
    17,823.56x = 26,738.94 × 6,137.24
  4. Step 4: Simplify right side
    17,823.56x = 164,103,292.13
  5. Step 5: Solve for x
    x = 164,103,292.13/17,823.56
  6. Step 6: Final answer
    x = 9,207.10

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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.