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Finding the Fourth Proportional to 13,350.75, 18,423.75 and 7,382.37

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Solution

The fourth proportional to 13,350.75, 18,423.75 and 7,382.37 is: 10,187.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,350.75 : 18,423.75 = 7,382.37 : x
  2. Step 2: Convert to fraction form
    13,350.75/18,423.75 = 7,382.37/x
  3. Step 3: Cross multiply
    13,350.75x = 18,423.75 × 7,382.37
  4. Step 4: Simplify right side
    13,350.75x = 136,010,939.29
  5. Step 5: Solve for x
    x = 136,010,939.29/13,350.75
  6. Step 6: Final answer
    x = 10,187.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.