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Finding the Fourth Proportional to 13,441.65, 18,550.14 and 7,473.20

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Solution

The fourth proportional to 13,441.65, 18,550.14 and 7,473.20 is: 10,313.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,441.65 : 18,550.14 = 7,473.20 : x
  2. Step 2: Convert to fraction form
    13,441.65/18,550.14 = 7,473.20/x
  3. Step 3: Cross multiply
    13,441.65x = 18,550.14 × 7,473.20
  4. Step 4: Simplify right side
    13,441.65x = 138,628,813.50
  5. Step 5: Solve for x
    x = 138,628,813.50/13,441.65
  6. Step 6: Final answer
    x = 10,313.38

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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.