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Finding the Fourth Proportional to 13,441.24, 18,550.38 and 7,699.24

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Solution

The fourth proportional to 13,441.24, 18,550.38 and 7,699.24 is: 10,625.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,441.24 : 18,550.38 = 7,699.24 : x
  2. Step 2: Convert to fraction form
    13,441.24/18,550.38 = 7,699.24/x
  3. Step 3: Cross multiply
    13,441.24x = 18,550.38 × 7,699.24
  4. Step 4: Simplify right side
    13,441.24x = 142,823,827.71
  5. Step 5: Solve for x
    x = 142,823,827.71/13,441.24
  6. Step 6: Final answer
    x = 10,625.79

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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.