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Finding the Fourth Proportional to 17,132.86, 25,699.80 and 4,652.80

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Solution

The fourth proportional to 17,132.86, 25,699.80 and 4,652.80 is: 6,979.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,132.86 : 25,699.80 = 4,652.80 : x
  2. Step 2: Convert to fraction form
    17,132.86/25,699.80 = 4,652.80/x
  3. Step 3: Cross multiply
    17,132.86x = 25,699.80 × 4,652.80
  4. Step 4: Simplify right side
    17,132.86x = 119,576,029.44
  5. Step 5: Solve for x
    x = 119,576,029.44/17,132.86
  6. Step 6: Final answer
    x = 6,979.34

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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.