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Finding the Fourth Proportional to 14,206.40, 19,599.69 and 8,234.78

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Solution

The fourth proportional to 14,206.40, 19,599.69 and 8,234.78 is: 11,361.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.40 : 19,599.69 = 8,234.78 : x
  2. Step 2: Convert to fraction form
    14,206.40/19,599.69 = 8,234.78/x
  3. Step 3: Cross multiply
    14,206.40x = 19,599.69 × 8,234.78
  4. Step 4: Simplify right side
    14,206.40x = 161,399,135.22
  5. Step 5: Solve for x
    x = 161,399,135.22/14,206.40
  6. Step 6: Final answer
    x = 11,361.02

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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.