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Finding the Fourth Proportional to 25,889.54, 35,717.44 and 14,556.42

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Solution

The fourth proportional to 25,889.54, 35,717.44 and 14,556.42 is: 20,082.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,889.54 : 35,717.44 = 14,556.42 : x
  2. Step 2: Convert to fraction form
    25,889.54/35,717.44 = 14,556.42/x
  3. Step 3: Cross multiply
    25,889.54x = 35,717.44 × 14,556.42
  4. Step 4: Simplify right side
    25,889.54x = 519,918,057.96
  5. Step 5: Solve for x
    x = 519,918,057.96/25,889.54
  6. Step 6: Final answer
    x = 20,082.17

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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.