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Finding the Fourth Proportional to 15,286.14, 22,924.47 and 7,383.75

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Solution

The fourth proportional to 15,286.14, 22,924.47 and 7,383.75 is: 11,073.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,286.14 : 22,924.47 = 7,383.75 : x
  2. Step 2: Convert to fraction form
    15,286.14/22,924.47 = 7,383.75/x
  3. Step 3: Cross multiply
    15,286.14x = 22,924.47 × 7,383.75
  4. Step 4: Simplify right side
    15,286.14x = 169,268,555.36
  5. Step 5: Solve for x
    x = 169,268,555.36/15,286.14
  6. Step 6: Final answer
    x = 11,073.34

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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.