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Finding the Fourth Proportional to 24,213.29, 36,319.94 and 8,619.98

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Solution

The fourth proportional to 24,213.29, 36,319.94 and 8,619.98 is: 12,929.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,213.29 : 36,319.94 = 8,619.98 : x
  2. Step 2: Convert to fraction form
    24,213.29/36,319.94 = 8,619.98/x
  3. Step 3: Cross multiply
    24,213.29x = 36,319.94 × 8,619.98
  4. Step 4: Simplify right side
    24,213.29x = 313,077,113.30
  5. Step 5: Solve for x
    x = 313,077,113.30/24,213.29
  6. Step 6: Final answer
    x = 12,929.97

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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.