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Finding the Fourth Proportional to 23,849.76, 35,775 and 8,267.70

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Solution

The fourth proportional to 23,849.76, 35,775 and 8,267.70 is: 12,401.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,849.76 : 35,775 = 8,267.70 : x
  2. Step 2: Convert to fraction form
    23,849.76/35,775 = 8,267.70/x
  3. Step 3: Cross multiply
    23,849.76x = 35,775 × 8,267.70
  4. Step 4: Simplify right side
    23,849.76x = 295,776,967.50
  5. Step 5: Solve for x
    x = 295,776,967.50/23,849.76
  6. Step 6: Final answer
    x = 12,401.67

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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.