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Finding the Fourth Proportional to 17,231.68, 25,847.68 and 11,080

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Solution

The fourth proportional to 17,231.68, 25,847.68 and 11,080 is: 16,620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,231.68 : 25,847.68 = 11,080 : x
  2. Step 2: Convert to fraction form
    17,231.68/25,847.68 = 11,080/x
  3. Step 3: Cross multiply
    17,231.68x = 25,847.68 × 11,080
  4. Step 4: Simplify right side
    17,231.68x = 286,392,294.40
  5. Step 5: Solve for x
    x = 286,392,294.40/17,231.68
  6. Step 6: Final answer
    x = 16,620.10

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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.