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Finding the Fourth Proportional to 30,672.88, 46,004.13 and 9,896.38

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Solution

The fourth proportional to 30,672.88, 46,004.13 and 9,896.38 is: 14,842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,672.88 : 46,004.13 = 9,896.38 : x
  2. Step 2: Convert to fraction form
    30,672.88/46,004.13 = 9,896.38/x
  3. Step 3: Cross multiply
    30,672.88x = 46,004.13 × 9,896.38
  4. Step 4: Simplify right side
    30,672.88x = 455,274,352.05
  5. Step 5: Solve for x
    x = 455,274,352.05/30,672.88
  6. Step 6: Final answer
    x = 14,842.90

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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.