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Finding the Fourth Proportional to 23,664, 35,477.27 and 11,811.67

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Solution

The fourth proportional to 23,664, 35,477.27 and 11,811.67 is: 17,708.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,664 : 35,477.27 = 11,811.67 : x
  2. Step 2: Convert to fraction form
    23,664/35,477.27 = 11,811.67/x
  3. Step 3: Cross multiply
    23,664x = 35,477.27 × 11,811.67
  4. Step 4: Simplify right side
    23,664x = 419,045,805.74
  5. Step 5: Solve for x
    x = 419,045,805.74/23,664
  6. Step 6: Final answer
    x = 17,708.16

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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.