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Finding the Fourth Proportional to 28,689.41, 43,016.50 and 9,961.40

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Solution

The fourth proportional to 28,689.41, 43,016.50 and 9,961.40 is: 14,935.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,689.41 : 43,016.50 = 9,961.40 : x
  2. Step 2: Convert to fraction form
    28,689.41/43,016.50 = 9,961.40/x
  3. Step 3: Cross multiply
    28,689.41x = 43,016.50 × 9,961.40
  4. Step 4: Simplify right side
    28,689.41x = 428,504,563.10
  5. Step 5: Solve for x
    x = 428,504,563.10/28,689.41
  6. Step 6: Final answer
    x = 14,935.98

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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.