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Finding the Fourth Proportional to 11,314.46, 16,939.96 and 8,532.38

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Solution

The fourth proportional to 11,314.46, 16,939.96 and 8,532.38 is: 12,774.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.46 : 16,939.96 = 8,532.38 : x
  2. Step 2: Convert to fraction form
    11,314.46/16,939.96 = 8,532.38/x
  3. Step 3: Cross multiply
    11,314.46x = 16,939.96 × 8,532.38
  4. Step 4: Simplify right side
    11,314.46x = 144,538,175.90
  5. Step 5: Solve for x
    x = 144,538,175.90/11,314.46
  6. Step 6: Final answer
    x = 12,774.64

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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.