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Finding the Fourth Proportional to 11,314.96, 16,940.71 and 8,532.88

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Solution

The fourth proportional to 11,314.96, 16,940.71 and 8,532.88 is: 12,775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.96 : 16,940.71 = 8,532.88 : x
  2. Step 2: Convert to fraction form
    11,314.96/16,940.71 = 8,532.88/x
  3. Step 3: Cross multiply
    11,314.96x = 16,940.71 × 8,532.88
  4. Step 4: Simplify right side
    11,314.96x = 144,553,045.54
  5. Step 5: Solve for x
    x = 144,553,045.54/11,314.96
  6. Step 6: Final answer
    x = 12,775.39

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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.