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Finding the Fourth Proportional to 17,842.80, 26,754.58 and 17,076

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Solution

The fourth proportional to 17,842.80, 26,754.58 and 17,076 is: 25,604.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.80 : 26,754.58 = 17,076 : x
  2. Step 2: Convert to fraction form
    17,842.80/26,754.58 = 17,076/x
  3. Step 3: Cross multiply
    17,842.80x = 26,754.58 × 17,076
  4. Step 4: Simplify right side
    17,842.80x = 456,861,208.08
  5. Step 5: Solve for x
    x = 456,861,208.08/17,842.80
  6. Step 6: Final answer
    x = 25,604.79

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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.