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Finding the Fourth Proportional to 30,676.16, 46,007.39 and 11,956.70

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Solution

The fourth proportional to 30,676.16, 46,007.39 and 11,956.70 is: 17,932.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,676.16 : 46,007.39 = 11,956.70 : x
  2. Step 2: Convert to fraction form
    30,676.16/46,007.39 = 11,956.70/x
  3. Step 3: Cross multiply
    30,676.16x = 46,007.39 × 11,956.70
  4. Step 4: Simplify right side
    30,676.16x = 550,096,270.19
  5. Step 5: Solve for x
    x = 550,096,270.19/30,676.16
  6. Step 6: Final answer
    x = 17,932.37

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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.