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Finding the Fourth Proportional to 14,857.21, 20,502.06 and 8,141.50

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Solution

The fourth proportional to 14,857.21, 20,502.06 and 8,141.50 is: 11,234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,857.21 : 20,502.06 = 8,141.50 : x
  2. Step 2: Convert to fraction form
    14,857.21/20,502.06 = 8,141.50/x
  3. Step 3: Cross multiply
    14,857.21x = 20,502.06 × 8,141.50
  4. Step 4: Simplify right side
    14,857.21x = 166,917,521.49
  5. Step 5: Solve for x
    x = 166,917,521.49/14,857.21
  6. Step 6: Final answer
    x = 11,234.78

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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.