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Finding the Fourth Proportional to 17,301.76, 25,940.80 and 6,208.20

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Solution

The fourth proportional to 17,301.76, 25,940.80 and 6,208.20 is: 9,308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,301.76 : 25,940.80 = 6,208.20 : x
  2. Step 2: Convert to fraction form
    17,301.76/25,940.80 = 6,208.20/x
  3. Step 3: Cross multiply
    17,301.76x = 25,940.80 × 6,208.20
  4. Step 4: Simplify right side
    17,301.76x = 161,045,674.56
  5. Step 5: Solve for x
    x = 161,045,674.56/17,301.76
  6. Step 6: Final answer
    x = 9,308.05

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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.