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Finding the Fourth Proportional to 20,565.38, 28,380.87 and 12,615.63

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Solution

The fourth proportional to 20,565.38, 28,380.87 and 12,615.63 is: 17,409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.38 : 28,380.87 = 12,615.63 : x
  2. Step 2: Convert to fraction form
    20,565.38/28,380.87 = 12,615.63/x
  3. Step 3: Cross multiply
    20,565.38x = 28,380.87 × 12,615.63
  4. Step 4: Simplify right side
    20,565.38x = 358,042,586.54
  5. Step 5: Solve for x
    x = 358,042,586.54/20,565.38
  6. Step 6: Final answer
    x = 17,409.97

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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.