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Finding the Fourth Proportional to 18,816, 25,967.04 and 10,433.28

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Solution

The fourth proportional to 18,816, 25,967.04 and 10,433.28 is: 14,398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,816 : 25,967.04 = 10,433.28 : x
  2. Step 2: Convert to fraction form
    18,816/25,967.04 = 10,433.28/x
  3. Step 3: Cross multiply
    18,816x = 25,967.04 × 10,433.28
  4. Step 4: Simplify right side
    18,816x = 270,921,399.09
  5. Step 5: Solve for x
    x = 270,921,399.09/18,816
  6. Step 6: Final answer
    x = 14,398.46

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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.