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Finding the Fourth Proportional to 18,380.16, 25,364.91 and 10,422.21

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Solution

The fourth proportional to 18,380.16, 25,364.91 and 10,422.21 is: 14,382.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,380.16 : 25,364.91 = 10,422.21 : x
  2. Step 2: Convert to fraction form
    18,380.16/25,364.91 = 10,422.21/x
  3. Step 3: Cross multiply
    18,380.16x = 25,364.91 × 10,422.21
  4. Step 4: Simplify right side
    18,380.16x = 264,358,418.65
  5. Step 5: Solve for x
    x = 264,358,418.65/18,380.16
  6. Step 6: Final answer
    x = 14,382.81

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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.