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Finding the Fourth Proportional to 16,853.88, 25,272.50 and 5,164.28

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Solution

The fourth proportional to 16,853.88, 25,272.50 and 5,164.28 is: 7,743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.88 : 25,272.50 = 5,164.28 : x
  2. Step 2: Convert to fraction form
    16,853.88/25,272.50 = 5,164.28/x
  3. Step 3: Cross multiply
    16,853.88x = 25,272.50 × 5,164.28
  4. Step 4: Simplify right side
    16,853.88x = 130,514,266.30
  5. Step 5: Solve for x
    x = 130,514,266.30/16,853.88
  6. Step 6: Final answer
    x = 7,743.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.