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Finding the Fourth Proportional to 17,407.56, 24,042.38 and 11,465.80

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Solution

The fourth proportional to 17,407.56, 24,042.38 and 11,465.80 is: 15,835.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407.56 : 24,042.38 = 11,465.80 : x
  2. Step 2: Convert to fraction form
    17,407.56/24,042.38 = 11,465.80/x
  3. Step 3: Cross multiply
    17,407.56x = 24,042.38 × 11,465.80
  4. Step 4: Simplify right side
    17,407.56x = 275,665,120.60
  5. Step 5: Solve for x
    x = 275,665,120.60/17,407.56
  6. Step 6: Final answer
    x = 15,835.94

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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.