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Finding the Fourth Proportional to 25,093.38, 37,632.22 and 9,080.90

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Solution

The fourth proportional to 25,093.38, 37,632.22 and 9,080.90 is: 13,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,093.38 : 37,632.22 = 9,080.90 : x
  2. Step 2: Convert to fraction form
    25,093.38/37,632.22 = 9,080.90/x
  3. Step 3: Cross multiply
    25,093.38x = 37,632.22 × 9,080.90
  4. Step 4: Simplify right side
    25,093.38x = 341,734,215.73
  5. Step 5: Solve for x
    x = 341,734,215.73/25,093.38
  6. Step 6: Final answer
    x = 13,618.50

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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.