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Finding the Fourth Proportional to 18,933.78, 28,381.53 and 7,825.14

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Solution

The fourth proportional to 18,933.78, 28,381.53 and 7,825.14 is: 11,729.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,933.78 : 28,381.53 = 7,825.14 : x
  2. Step 2: Convert to fraction form
    18,933.78/28,381.53 = 7,825.14/x
  3. Step 3: Cross multiply
    18,933.78x = 28,381.53 × 7,825.14
  4. Step 4: Simplify right side
    18,933.78x = 222,089,445.66
  5. Step 5: Solve for x
    x = 222,089,445.66/18,933.78
  6. Step 6: Final answer
    x = 11,729.80

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1.5x scale

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.