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Finding the Fourth Proportional to 17,079.80, 23,561.76 and 11,415.92

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Solution

The fourth proportional to 17,079.80, 23,561.76 and 11,415.92 is: 15,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,079.80 : 23,561.76 = 11,415.92 : x
  2. Step 2: Convert to fraction form
    17,079.80/23,561.76 = 11,415.92/x
  3. Step 3: Cross multiply
    17,079.80x = 23,561.76 × 11,415.92
  4. Step 4: Simplify right side
    17,079.80x = 268,979,167.22
  5. Step 5: Solve for x
    x = 268,979,167.22/17,079.80
  6. Step 6: Final answer
    x = 15,748.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.