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Finding the Fourth Proportional to 23,944.88, 35,911.56 and 11,630

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Solution

The fourth proportional to 23,944.88, 35,911.56 and 11,630 is: 17,442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,944.88 : 35,911.56 = 11,630 : x
  2. Step 2: Convert to fraction form
    23,944.88/35,911.56 = 11,630/x
  3. Step 3: Cross multiply
    23,944.88x = 35,911.56 × 11,630
  4. Step 4: Simplify right side
    23,944.88x = 417,651,442.80
  5. Step 5: Solve for x
    x = 417,651,442.80/23,944.88
  6. Step 6: Final answer
    x = 17,442.20

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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.