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Finding the Fourth Proportional to 18,796.16, 25,937.52 and 10,412

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Solution

The fourth proportional to 18,796.16, 25,937.52 and 10,412 is: 14,367.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,796.16 : 25,937.52 = 10,412 : x
  2. Step 2: Convert to fraction form
    18,796.16/25,937.52 = 10,412/x
  3. Step 3: Cross multiply
    18,796.16x = 25,937.52 × 10,412
  4. Step 4: Simplify right side
    18,796.16x = 270,061,458.24
  5. Step 5: Solve for x
    x = 270,061,458.24/18,796.16
  6. Step 6: Final answer
    x = 14,367.91

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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.