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Finding the Fourth Proportional to 13,410.34, 18,505.38 and 7,441.63

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Solution

The fourth proportional to 13,410.34, 18,505.38 and 7,441.63 is: 10,268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.34 : 18,505.38 = 7,441.63 : x
  2. Step 2: Convert to fraction form
    13,410.34/18,505.38 = 7,441.63/x
  3. Step 3: Cross multiply
    13,410.34x = 18,505.38 × 7,441.63
  4. Step 4: Simplify right side
    13,410.34x = 137,710,190.97
  5. Step 5: Solve for x
    x = 137,710,190.97/13,410.34
  6. Step 6: Final answer
    x = 10,268.96

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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.