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Finding the Fourth Proportional to 26,690.50, 40,037.91 and 8,222.50

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Solution

The fourth proportional to 26,690.50, 40,037.91 and 8,222.50 is: 12,334.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,690.50 : 40,037.91 = 8,222.50 : x
  2. Step 2: Convert to fraction form
    26,690.50/40,037.91 = 8,222.50/x
  3. Step 3: Cross multiply
    26,690.50x = 40,037.91 × 8,222.50
  4. Step 4: Simplify right side
    26,690.50x = 329,211,714.98
  5. Step 5: Solve for x
    x = 329,211,714.98/26,690.50
  6. Step 6: Final answer
    x = 12,334.42

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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.