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Finding the Fourth Proportional to 18,705.72, 25,814.04 and 10,207.91

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Solution

The fourth proportional to 18,705.72, 25,814.04 and 10,207.91 is: 14,086.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,705.72 : 25,814.04 = 10,207.91 : x
  2. Step 2: Convert to fraction form
    18,705.72/25,814.04 = 10,207.91/x
  3. Step 3: Cross multiply
    18,705.72x = 25,814.04 × 10,207.91
  4. Step 4: Simplify right side
    18,705.72x = 263,507,335.53
  5. Step 5: Solve for x
    x = 263,507,335.53/18,705.72
  6. Step 6: Final answer
    x = 14,086.99

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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.