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Finding the Fourth Proportional to 25,993.44, 38,994 and 7,523.04

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Solution

The fourth proportional to 25,993.44, 38,994 and 7,523.04 is: 11,285.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,993.44 : 38,994 = 7,523.04 : x
  2. Step 2: Convert to fraction form
    25,993.44/38,994 = 7,523.04/x
  3. Step 3: Cross multiply
    25,993.44x = 38,994 × 7,523.04
  4. Step 4: Simplify right side
    25,993.44x = 293,353,421.76
  5. Step 5: Solve for x
    x = 293,353,421.76/25,993.44
  6. Step 6: Final answer
    x = 11,285.67

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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.