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Finding the Fourth Proportional to 20,574.86, 28,393.38 and 11,143.42

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Solution

The fourth proportional to 20,574.86, 28,393.38 and 11,143.42 is: 15,377.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,574.86 : 28,393.38 = 11,143.42 : x
  2. Step 2: Convert to fraction form
    20,574.86/28,393.38 = 11,143.42/x
  3. Step 3: Cross multiply
    20,574.86x = 28,393.38 × 11,143.42
  4. Step 4: Simplify right side
    20,574.86x = 316,399,358.56
  5. Step 5: Solve for x
    x = 316,399,358.56/20,574.86
  6. Step 6: Final answer
    x = 15,377.96

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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.