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Finding the Fourth Proportional to 30,963.30, 46,430.30 and 11,996.81

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Solution

The fourth proportional to 30,963.30, 46,430.30 and 11,996.81 is: 17,989.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,963.30 : 46,430.30 = 11,996.81 : x
  2. Step 2: Convert to fraction form
    30,963.30/46,430.30 = 11,996.81/x
  3. Step 3: Cross multiply
    30,963.30x = 46,430.30 × 11,996.81
  4. Step 4: Simplify right side
    30,963.30x = 557,015,391.82
  5. Step 5: Solve for x
    x = 557,015,391.82/30,963.30
  6. Step 6: Final answer
    x = 17,989.54

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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.