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Finding the Fourth Proportional to 20,432.69, 28,212.86 and 16,471.49

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Solution

The fourth proportional to 20,432.69, 28,212.86 and 16,471.49 is: 22,743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,432.69 : 28,212.86 = 16,471.49 : x
  2. Step 2: Convert to fraction form
    20,432.69/28,212.86 = 16,471.49/x
  3. Step 3: Cross multiply
    20,432.69x = 28,212.86 × 16,471.49
  4. Step 4: Simplify right side
    20,432.69x = 464,707,648.82
  5. Step 5: Solve for x
    x = 464,707,648.82/20,432.69
  6. Step 6: Final answer
    x = 22,743.34

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