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Finding the Fourth Proportional to 20,706.32, 28,575.34 and 14,667.38

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Solution

The fourth proportional to 20,706.32, 28,575.34 and 14,667.38 is: 20,241.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706.32 : 28,575.34 = 14,667.38 : x
  2. Step 2: Convert to fraction form
    20,706.32/28,575.34 = 14,667.38/x
  3. Step 3: Cross multiply
    20,706.32x = 28,575.34 × 14,667.38
  4. Step 4: Simplify right side
    20,706.32x = 419,125,370.41
  5. Step 5: Solve for x
    x = 419,125,370.41/20,706.32
  6. Step 6: Final answer
    x = 20,241.42

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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.