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Finding the Fourth Proportional to 13,496.38, 18,625.02 and 7,832.24

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Solution

The fourth proportional to 13,496.38, 18,625.02 and 7,832.24 is: 10,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.38 : 18,625.02 = 7,832.24 : x
  2. Step 2: Convert to fraction form
    13,496.38/18,625.02 = 7,832.24/x
  3. Step 3: Cross multiply
    13,496.38x = 18,625.02 × 7,832.24
  4. Step 4: Simplify right side
    13,496.38x = 145,875,626.64
  5. Step 5: Solve for x
    x = 145,875,626.64/13,496.38
  6. Step 6: Final answer
    x = 10,808.50

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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.