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Finding the Fourth Proportional to 17,309.60, 25,964.40 and 10,743.20

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Solution

The fourth proportional to 17,309.60, 25,964.40 and 10,743.20 is: 16,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,309.60 : 25,964.40 = 10,743.20 : x
  2. Step 2: Convert to fraction form
    17,309.60/25,964.40 = 10,743.20/x
  3. Step 3: Cross multiply
    17,309.60x = 25,964.40 × 10,743.20
  4. Step 4: Simplify right side
    17,309.60x = 278,940,742.08
  5. Step 5: Solve for x
    x = 278,940,742.08/17,309.60
  6. Step 6: Final answer
    x = 16,114.80

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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.