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Finding the Fourth Proportional to 18,764, 25,892.08 and 10,379.36

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Solution

The fourth proportional to 18,764, 25,892.08 and 10,379.36 is: 14,322.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,764 : 25,892.08 = 10,379.36 : x
  2. Step 2: Convert to fraction form
    18,764/25,892.08 = 10,379.36/x
  3. Step 3: Cross multiply
    18,764x = 25,892.08 × 10,379.36
  4. Step 4: Simplify right side
    18,764x = 268,743,219.47
  5. Step 5: Solve for x
    x = 268,743,219.47/18,764
  6. Step 6: Final answer
    x = 14,322.28

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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.