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Finding the Fourth Proportional to 30,956.37, 46,434.82 and 9,896.23

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Solution

The fourth proportional to 30,956.37, 46,434.82 and 9,896.23 is: 14,844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,956.37 : 46,434.82 = 9,896.23 : x
  2. Step 2: Convert to fraction form
    30,956.37/46,434.82 = 9,896.23/x
  3. Step 3: Cross multiply
    30,956.37x = 46,434.82 × 9,896.23
  4. Step 4: Simplify right side
    30,956.37x = 459,529,658.73
  5. Step 5: Solve for x
    x = 459,529,658.73/30,956.37
  6. Step 6: Final answer
    x = 14,844.43

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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.