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Finding the Fourth Proportional to 17,754.62, 26,635.16 and 13,782.38

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Solution

The fourth proportional to 17,754.62, 26,635.16 and 13,782.38 is: 20,676.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,754.62 : 26,635.16 = 13,782.38 : x
  2. Step 2: Convert to fraction form
    17,754.62/26,635.16 = 13,782.38/x
  3. Step 3: Cross multiply
    17,754.62x = 26,635.16 × 13,782.38
  4. Step 4: Simplify right side
    17,754.62x = 367,095,797.76
  5. Step 5: Solve for x
    x = 367,095,797.76/17,754.62
  6. Step 6: Final answer
    x = 20,676.08

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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.