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Finding the Fourth Proportional to 18,914.14, 26,101.30 and 10,416.09

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Solution

The fourth proportional to 18,914.14, 26,101.30 and 10,416.09 is: 14,374.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,914.14 : 26,101.30 = 10,416.09 : x
  2. Step 2: Convert to fraction form
    18,914.14/26,101.30 = 10,416.09/x
  3. Step 3: Cross multiply
    18,914.14x = 26,101.30 × 10,416.09
  4. Step 4: Simplify right side
    18,914.14x = 271,873,489.92
  5. Step 5: Solve for x
    x = 271,873,489.92/18,914.14
  6. Step 6: Final answer
    x = 14,374.09

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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.