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Finding the Fourth Proportional to 16,853.68, 25,279.74 and 5,167

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Solution

The fourth proportional to 16,853.68, 25,279.74 and 5,167 is: 7,750.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.68 : 25,279.74 = 5,167 : x
  2. Step 2: Convert to fraction form
    16,853.68/25,279.74 = 5,167/x
  3. Step 3: Cross multiply
    16,853.68x = 25,279.74 × 5,167
  4. Step 4: Simplify right side
    16,853.68x = 130,620,416.58
  5. Step 5: Solve for x
    x = 130,620,416.58/16,853.68
  6. Step 6: Final answer
    x = 7,750.26

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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.