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Finding the Fourth Proportional to 16,754.84, 25,122.69 and 6,886

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Solution

The fourth proportional to 16,754.84, 25,122.69 and 6,886 is: 10,325.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,754.84 : 25,122.69 = 6,886 : x
  2. Step 2: Convert to fraction form
    16,754.84/25,122.69 = 6,886/x
  3. Step 3: Cross multiply
    16,754.84x = 25,122.69 × 6,886
  4. Step 4: Simplify right side
    16,754.84x = 172,994,843.34
  5. Step 5: Solve for x
    x = 172,994,843.34/16,754.84
  6. Step 6: Final answer
    x = 10,325.07

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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.