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Finding the Fourth Proportional to 25,367.58, 38,049.03 and 7,835.67

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Solution

The fourth proportional to 25,367.58, 38,049.03 and 7,835.67 is: 11,752.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,367.58 : 38,049.03 = 7,835.67 : x
  2. Step 2: Convert to fraction form
    25,367.58/38,049.03 = 7,835.67/x
  3. Step 3: Cross multiply
    25,367.58x = 38,049.03 × 7,835.67
  4. Step 4: Simplify right side
    25,367.58x = 298,139,642.90
  5. Step 5: Solve for x
    x = 298,139,642.90/25,367.58
  6. Step 6: Final answer
    x = 11,752.78

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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.