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Finding the Fourth Proportional to 18,705.16, 27,996.29 and 14,238.71

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Solution

The fourth proportional to 18,705.16, 27,996.29 and 14,238.71 is: 21,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,705.16 : 27,996.29 = 14,238.71 : x
  2. Step 2: Convert to fraction form
    18,705.16/27,996.29 = 14,238.71/x
  3. Step 3: Cross multiply
    18,705.16x = 27,996.29 × 14,238.71
  4. Step 4: Simplify right side
    18,705.16x = 398,630,983.19
  5. Step 5: Solve for x
    x = 398,630,983.19/18,705.16
  6. Step 6: Final answer
    x = 21,311.29

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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.