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Finding the Fourth Proportional to 16,855.59, 25,287 and 6,467.25

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Solution

The fourth proportional to 16,855.59, 25,287 and 6,467.25 is: 9,702.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,855.59 : 25,287 = 6,467.25 : x
  2. Step 2: Convert to fraction form
    16,855.59/25,287 = 6,467.25/x
  3. Step 3: Cross multiply
    16,855.59x = 25,287 × 6,467.25
  4. Step 4: Simplify right side
    16,855.59x = 163,537,350.75
  5. Step 5: Solve for x
    x = 163,537,350.75/16,855.59
  6. Step 6: Final answer
    x = 9,702.26

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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.