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Finding the Fourth Proportional to 19,833.75, 29,749.41 and 8,146.67

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Solution

The fourth proportional to 19,833.75, 29,749.41 and 8,146.67 is: 12,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,833.75 : 29,749.41 = 8,146.67 : x
  2. Step 2: Convert to fraction form
    19,833.75/29,749.41 = 8,146.67/x
  3. Step 3: Cross multiply
    19,833.75x = 29,749.41 × 8,146.67
  4. Step 4: Simplify right side
    19,833.75x = 242,358,571.96
  5. Step 5: Solve for x
    x = 242,358,571.96/19,833.75
  6. Step 6: Final answer
    x = 12,219.50

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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.