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Finding the Fourth Proportional to 23,856.81, 35,763.34 and 8,263.50

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Solution

The fourth proportional to 23,856.81, 35,763.34 and 8,263.50 is: 12,387.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,856.81 : 35,763.34 = 8,263.50 : x
  2. Step 2: Convert to fraction form
    23,856.81/35,763.34 = 8,263.50/x
  3. Step 3: Cross multiply
    23,856.81x = 35,763.34 × 8,263.50
  4. Step 4: Simplify right side
    23,856.81x = 295,530,360.09
  5. Step 5: Solve for x
    x = 295,530,360.09/23,856.81
  6. Step 6: Final answer
    x = 12,387.67

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1.5x scale

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.