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Finding the Fourth Proportional to 26,690, 40,037.16 and 8,222

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Solution

The fourth proportional to 26,690, 40,037.16 and 8,222 is: 12,333.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,690 : 40,037.16 = 8,222 : x
  2. Step 2: Convert to fraction form
    26,690/40,037.16 = 8,222/x
  3. Step 3: Cross multiply
    26,690x = 40,037.16 × 8,222
  4. Step 4: Simplify right side
    26,690x = 329,185,529.52
  5. Step 5: Solve for x
    x = 329,185,529.52/26,690
  6. Step 6: Final answer
    x = 12,333.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.