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Finding the Fourth Proportional to 18,533.38, 25,578.21 and 10,576.75

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Solution

The fourth proportional to 18,533.38, 25,578.21 and 10,576.75 is: 14,597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,533.38 : 25,578.21 = 10,576.75 : x
  2. Step 2: Convert to fraction form
    18,533.38/25,578.21 = 10,576.75/x
  3. Step 3: Cross multiply
    18,533.38x = 25,578.21 × 10,576.75
  4. Step 4: Simplify right side
    18,533.38x = 270,534,332.62
  5. Step 5: Solve for x
    x = 270,534,332.62/18,533.38
  6. Step 6: Final answer
    x = 14,597.14

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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.