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Finding the Fourth Proportional to 18,788.64, 25,928.32 and 10,405.14

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Solution

The fourth proportional to 18,788.64, 25,928.32 and 10,405.14 is: 14,359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,788.64 : 25,928.32 = 10,405.14 : x
  2. Step 2: Convert to fraction form
    18,788.64/25,928.32 = 10,405.14/x
  3. Step 3: Cross multiply
    18,788.64x = 25,928.32 × 10,405.14
  4. Step 4: Simplify right side
    18,788.64x = 269,787,799.56
  5. Step 5: Solve for x
    x = 269,787,799.56/18,788.64
  6. Step 6: Final answer
    x = 14,359.09

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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.