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Finding the Fourth Proportional to 25,634.54, 38,464.50 and 11,593.11

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Solution

The fourth proportional to 25,634.54, 38,464.50 and 11,593.11 is: 17,395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,634.54 : 38,464.50 = 11,593.11 : x
  2. Step 2: Convert to fraction form
    25,634.54/38,464.50 = 11,593.11/x
  3. Step 3: Cross multiply
    25,634.54x = 38,464.50 × 11,593.11
  4. Step 4: Simplify right side
    25,634.54x = 445,923,124.55
  5. Step 5: Solve for x
    x = 445,923,124.55/25,634.54
  6. Step 6: Final answer
    x = 17,395.40

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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.