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Finding the Fourth Proportional to 12,922.32, 17,834.16 and 8,206.61

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Solution

The fourth proportional to 12,922.32, 17,834.16 and 8,206.61 is: 11,325.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,922.32 : 17,834.16 = 8,206.61 : x
  2. Step 2: Convert to fraction form
    12,922.32/17,834.16 = 8,206.61/x
  3. Step 3: Cross multiply
    12,922.32x = 17,834.16 × 8,206.61
  4. Step 4: Simplify right side
    12,922.32x = 146,357,906.63
  5. Step 5: Solve for x
    x = 146,357,906.63/12,922.32
  6. Step 6: Final answer
    x = 11,325.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.