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Finding the Fourth Proportional to 24,106.80, 36,165.60 and 7,467.60

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Solution

The fourth proportional to 24,106.80, 36,165.60 and 7,467.60 is: 11,203.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,106.80 : 36,165.60 = 7,467.60 : x
  2. Step 2: Convert to fraction form
    24,106.80/36,165.60 = 7,467.60/x
  3. Step 3: Cross multiply
    24,106.80x = 36,165.60 × 7,467.60
  4. Step 4: Simplify right side
    24,106.80x = 270,070,234.56
  5. Step 5: Solve for x
    x = 270,070,234.56/24,106.80
  6. Step 6: Final answer
    x = 11,203.07

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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.