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Finding the Fourth Proportional to 25,923, 35,775.56 and 14,593.60

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Solution

The fourth proportional to 25,923, 35,775.56 and 14,593.60 is: 20,140.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,923 : 35,775.56 = 14,593.60 : x
  2. Step 2: Convert to fraction form
    25,923/35,775.56 = 14,593.60/x
  3. Step 3: Cross multiply
    25,923x = 35,775.56 × 14,593.60
  4. Step 4: Simplify right side
    25,923x = 522,094,212.42
  5. Step 5: Solve for x
    x = 522,094,212.42/25,923
  6. Step 6: Final answer
    x = 20,140.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.