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Finding the Fourth Proportional to 13,382.70, 17,811.20 and 13,382.70

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Solution

The fourth proportional to 13,382.70, 17,811.20 and 13,382.70 is: 17,811.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.70 : 17,811.20 = 13,382.70 : x
  2. Step 2: Convert to fraction form
    13,382.70/17,811.20 = 13,382.70/x
  3. Step 3: Cross multiply
    13,382.70x = 17,811.20 × 13,382.70
  4. Step 4: Simplify right side
    13,382.70x = 238,361,879.33
  5. Step 5: Solve for x
    x = 238,361,879.33/13,382.70
  6. Step 6: Final answer
    x = 17,811.20

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.