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Finding the Fourth Proportional to 17,200.38, 23,732.28 and 10,025.94

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Solution

The fourth proportional to 17,200.38, 23,732.28 and 10,025.94 is: 13,833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,200.38 : 23,732.28 = 10,025.94 : x
  2. Step 2: Convert to fraction form
    17,200.38/23,732.28 = 10,025.94/x
  3. Step 3: Cross multiply
    17,200.38x = 23,732.28 × 10,025.94
  4. Step 4: Simplify right side
    17,200.38x = 237,938,415.34
  5. Step 5: Solve for x
    x = 237,938,415.34/17,200.38
  6. Step 6: Final answer
    x = 13,833.32

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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.