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Finding the Fourth Proportional to 11,782.46, 17,635.23 and 8,661.64

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Solution

The fourth proportional to 11,782.46, 17,635.23 and 8,661.64 is: 12,964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.46 : 17,635.23 = 8,661.64 : x
  2. Step 2: Convert to fraction form
    11,782.46/17,635.23 = 8,661.64/x
  3. Step 3: Cross multiply
    11,782.46x = 17,635.23 × 8,661.64
  4. Step 4: Simplify right side
    11,782.46x = 152,750,013.58
  5. Step 5: Solve for x
    x = 152,750,013.58/11,782.46
  6. Step 6: Final answer
    x = 12,964.19

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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.