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Finding the Fourth Proportional to 23,106.80, 34,662.62 and 7,525.64

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Solution

The fourth proportional to 23,106.80, 34,662.62 and 7,525.64 is: 11,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,106.80 : 34,662.62 = 7,525.64 : x
  2. Step 2: Convert to fraction form
    23,106.80/34,662.62 = 7,525.64/x
  3. Step 3: Cross multiply
    23,106.80x = 34,662.62 × 7,525.64
  4. Step 4: Simplify right side
    23,106.80x = 260,858,245.08
  5. Step 5: Solve for x
    x = 260,858,245.08/23,106.80
  6. Step 6: Final answer
    x = 11,289.24

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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.