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Finding the Fourth Proportional to 17,754.56, 26,614 and 6,059.76

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Solution

The fourth proportional to 17,754.56, 26,614 and 6,059.76 is: 9,083.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,754.56 : 26,614 = 6,059.76 : x
  2. Step 2: Convert to fraction form
    17,754.56/26,614 = 6,059.76/x
  3. Step 3: Cross multiply
    17,754.56x = 26,614 × 6,059.76
  4. Step 4: Simplify right side
    17,754.56x = 161,274,452.64
  5. Step 5: Solve for x
    x = 161,274,452.64/17,754.56
  6. Step 6: Final answer
    x = 9,083.55

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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.