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Finding the Fourth Proportional to 11,470.14, 17,205.71 and 3,149.96

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Solution

The fourth proportional to 11,470.14, 17,205.71 and 3,149.96 is: 4,725.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.14 : 17,205.71 = 3,149.96 : x
  2. Step 2: Convert to fraction form
    11,470.14/17,205.71 = 3,149.96/x
  3. Step 3: Cross multiply
    11,470.14x = 17,205.71 × 3,149.96
  4. Step 4: Simplify right side
    11,470.14x = 54,197,196.49
  5. Step 5: Solve for x
    x = 54,197,196.49/11,470.14
  6. Step 6: Final answer
    x = 4,725.07

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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.