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Finding the Fourth Proportional to 16,853.88, 25,285.68 and 5,168.82

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Solution

The fourth proportional to 16,853.88, 25,285.68 and 5,168.82 is: 7,754.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.88 : 25,285.68 = 5,168.82 : x
  2. Step 2: Convert to fraction form
    16,853.88/25,285.68 = 5,168.82/x
  3. Step 3: Cross multiply
    16,853.88x = 25,285.68 × 5,168.82
  4. Step 4: Simplify right side
    16,853.88x = 130,697,128.50
  5. Step 5: Solve for x
    x = 130,697,128.50/16,853.88
  6. Step 6: Final answer
    x = 7,754.72

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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.