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Finding the Fourth Proportional to 17,083.60, 25,631.80 and 6,702.80

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Solution

The fourth proportional to 17,083.60, 25,631.80 and 6,702.80 is: 10,056.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,083.60 : 25,631.80 = 6,702.80 : x
  2. Step 2: Convert to fraction form
    17,083.60/25,631.80 = 6,702.80/x
  3. Step 3: Cross multiply
    17,083.60x = 25,631.80 × 6,702.80
  4. Step 4: Simplify right side
    17,083.60x = 171,804,829.04
  5. Step 5: Solve for x
    x = 171,804,829.04/17,083.60
  6. Step 6: Final answer
    x = 10,056.71

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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.