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Finding the Fourth Proportional to 24,063.30, 36,085.96 and 8,263.84

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Solution

The fourth proportional to 24,063.30, 36,085.96 and 8,263.84 is: 12,392.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,063.30 : 36,085.96 = 8,263.84 : x
  2. Step 2: Convert to fraction form
    24,063.30/36,085.96 = 8,263.84/x
  3. Step 3: Cross multiply
    24,063.30x = 36,085.96 × 8,263.84
  4. Step 4: Simplify right side
    24,063.30x = 298,208,599.69
  5. Step 5: Solve for x
    x = 298,208,599.69/24,063.30
  6. Step 6: Final answer
    x = 12,392.67

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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.