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Finding the Fourth Proportional to 17,827.54, 26,749.50 and 6,738.08

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Solution

The fourth proportional to 17,827.54, 26,749.50 and 6,738.08 is: 10,110.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827.54 : 26,749.50 = 6,738.08 : x
  2. Step 2: Convert to fraction form
    17,827.54/26,749.50 = 6,738.08/x
  3. Step 3: Cross multiply
    17,827.54x = 26,749.50 × 6,738.08
  4. Step 4: Simplify right side
    17,827.54x = 180,240,137.21
  5. Step 5: Solve for x
    x = 180,240,137.21/17,827.54
  6. Step 6: Final answer
    x = 10,110.21

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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.