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Finding the Fourth Proportional to 23,958.59, 35,940.38 and 9,180

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Solution

The fourth proportional to 23,958.59, 35,940.38 and 9,180 is: 13,770.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,958.59 : 35,940.38 = 9,180 : x
  2. Step 2: Convert to fraction form
    23,958.59/35,940.38 = 9,180/x
  3. Step 3: Cross multiply
    23,958.59x = 35,940.38 × 9,180
  4. Step 4: Simplify right side
    23,958.59x = 329,932,642.50
  5. Step 5: Solve for x
    x = 329,932,642.50/23,958.59
  6. Step 6: Final answer
    x = 13,770.96

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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.