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Finding the Fourth Proportional to 23,662.60, 35,499.30 and 8,080

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Solution

The fourth proportional to 23,662.60, 35,499.30 and 8,080 is: 12,121.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,662.60 : 35,499.30 = 8,080 : x
  2. Step 2: Convert to fraction form
    23,662.60/35,499.30 = 8,080/x
  3. Step 3: Cross multiply
    23,662.60x = 35,499.30 × 8,080
  4. Step 4: Simplify right side
    23,662.60x = 286,834,344
  5. Step 5: Solve for x
    x = 286,834,344/23,662.60
  6. Step 6: Final answer
    x = 12,121.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.