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Finding the Fourth Proportional to 17,738.37, 26,616.87 and 7,884.72

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Solution

The fourth proportional to 17,738.37, 26,616.87 and 7,884.72 is: 11,831.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738.37 : 26,616.87 = 7,884.72 : x
  2. Step 2: Convert to fraction form
    17,738.37/26,616.87 = 7,884.72/x
  3. Step 3: Cross multiply
    17,738.37x = 26,616.87 × 7,884.72
  4. Step 4: Simplify right side
    17,738.37x = 209,866,567.23
  5. Step 5: Solve for x
    x = 209,866,567.23/17,738.37
  6. Step 6: Final answer
    x = 11,831.22

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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.