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Finding the Fourth Proportional to 17,115.20, 25,674.80 and 5,429.60

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Solution

The fourth proportional to 17,115.20, 25,674.80 and 5,429.60 is: 8,145.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,115.20 : 25,674.80 = 5,429.60 : x
  2. Step 2: Convert to fraction form
    17,115.20/25,674.80 = 5,429.60/x
  3. Step 3: Cross multiply
    17,115.20x = 25,674.80 × 5,429.60
  4. Step 4: Simplify right side
    17,115.20x = 139,403,894.08
  5. Step 5: Solve for x
    x = 139,403,894.08/17,115.20
  6. Step 6: Final answer
    x = 8,145.03

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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.