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Finding the Fourth Proportional to 18,595, 25,661.28 and 10,097.20

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Solution

The fourth proportional to 18,595, 25,661.28 and 10,097.20 is: 13,934.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,595 : 25,661.28 = 10,097.20 : x
  2. Step 2: Convert to fraction form
    18,595/25,661.28 = 10,097.20/x
  3. Step 3: Cross multiply
    18,595x = 25,661.28 × 10,097.20
  4. Step 4: Simplify right side
    18,595x = 259,107,076.42
  5. Step 5: Solve for x
    x = 259,107,076.42/18,595
  6. Step 6: Final answer
    x = 13,934.23

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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.