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Finding the Fourth Proportional to 17,003.50, 25,481.76 and 9,511

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Solution

The fourth proportional to 17,003.50, 25,481.76 and 9,511 is: 14,253.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,003.50 : 25,481.76 = 9,511 : x
  2. Step 2: Convert to fraction form
    17,003.50/25,481.76 = 9,511/x
  3. Step 3: Cross multiply
    17,003.50x = 25,481.76 × 9,511
  4. Step 4: Simplify right side
    17,003.50x = 242,357,019.36
  5. Step 5: Solve for x
    x = 242,357,019.36/17,003.50
  6. Step 6: Final answer
    x = 14,253.36

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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.