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Finding the Fourth Proportional to 24,485, 36,733.26 and 8,069

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Solution

The fourth proportional to 24,485, 36,733.26 and 8,069 is: 12,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,485 : 36,733.26 = 8,069 : x
  2. Step 2: Convert to fraction form
    24,485/36,733.26 = 8,069/x
  3. Step 3: Cross multiply
    24,485x = 36,733.26 × 8,069
  4. Step 4: Simplify right side
    24,485x = 296,400,674.94
  5. Step 5: Solve for x
    x = 296,400,674.94/24,485
  6. Step 6: Final answer
    x = 12,105.40

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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.