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Finding the Fourth Proportional to 16,924, 25,387.22 and 5,235.72

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Solution

The fourth proportional to 16,924, 25,387.22 and 5,235.72 is: 7,853.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,924 : 25,387.22 = 5,235.72 : x
  2. Step 2: Convert to fraction form
    16,924/25,387.22 = 5,235.72/x
  3. Step 3: Cross multiply
    16,924x = 25,387.22 × 5,235.72
  4. Step 4: Simplify right side
    16,924x = 132,920,375.50
  5. Step 5: Solve for x
    x = 132,920,375.50/16,924
  6. Step 6: Final answer
    x = 7,853.96

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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.