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Finding the Fourth Proportional to 17,100.80, 25,651.20 and 7,884.80

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Solution

The fourth proportional to 17,100.80, 25,651.20 and 7,884.80 is: 11,827.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,100.80 : 25,651.20 = 7,884.80 : x
  2. Step 2: Convert to fraction form
    17,100.80/25,651.20 = 7,884.80/x
  3. Step 3: Cross multiply
    17,100.80x = 25,651.20 × 7,884.80
  4. Step 4: Simplify right side
    17,100.80x = 202,254,581.76
  5. Step 5: Solve for x
    x = 202,254,581.76/17,100.80
  6. Step 6: Final answer
    x = 11,827.20

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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.