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Finding the Fourth Proportional to 16,901.82, 25,344 and 5,805.51

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Solution

The fourth proportional to 16,901.82, 25,344 and 5,805.51 is: 8,705.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,901.82 : 25,344 = 5,805.51 : x
  2. Step 2: Convert to fraction form
    16,901.82/25,344 = 5,805.51/x
  3. Step 3: Cross multiply
    16,901.82x = 25,344 × 5,805.51
  4. Step 4: Simplify right side
    16,901.82x = 147,134,845.44
  5. Step 5: Solve for x
    x = 147,134,845.44/16,901.82
  6. Step 6: Final answer
    x = 8,705.27

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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.