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Finding the Fourth Proportional to 18,382.14, 25,370.01 and 10,426.32

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Solution

The fourth proportional to 18,382.14, 25,370.01 and 10,426.32 is: 14,389.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,382.14 : 25,370.01 = 10,426.32 : x
  2. Step 2: Convert to fraction form
    18,382.14/25,370.01 = 10,426.32/x
  3. Step 3: Cross multiply
    18,382.14x = 25,370.01 × 10,426.32
  4. Step 4: Simplify right side
    18,382.14x = 264,515,842.66
  5. Step 5: Solve for x
    x = 264,515,842.66/18,382.14
  6. Step 6: Final answer
    x = 14,389.83

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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.