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Finding the Fourth Proportional to 18,164.48, 25,067.61 and 10,206.54

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Solution

The fourth proportional to 18,164.48, 25,067.61 and 10,206.54 is: 14,085.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,164.48 : 25,067.61 = 10,206.54 : x
  2. Step 2: Convert to fraction form
    18,164.48/25,067.61 = 10,206.54/x
  3. Step 3: Cross multiply
    18,164.48x = 25,067.61 × 10,206.54
  4. Step 4: Simplify right side
    18,164.48x = 255,853,564.17
  5. Step 5: Solve for x
    x = 255,853,564.17/18,164.48
  6. Step 6: Final answer
    x = 14,085.38

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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.