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Finding the Fourth Proportional to 17,201.80, 25,829.10 and 9,425.80

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Solution

The fourth proportional to 17,201.80, 25,829.10 and 9,425.80 is: 14,153.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,201.80 : 25,829.10 = 9,425.80 : x
  2. Step 2: Convert to fraction form
    17,201.80/25,829.10 = 9,425.80/x
  3. Step 3: Cross multiply
    17,201.80x = 25,829.10 × 9,425.80
  4. Step 4: Simplify right side
    17,201.80x = 243,459,930.78
  5. Step 5: Solve for x
    x = 243,459,930.78/17,201.80
  6. Step 6: Final answer
    x = 14,153.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.