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Finding the Fourth Proportional to 14,615.41, 20,169.72 and 8,327.38

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Solution

The fourth proportional to 14,615.41, 20,169.72 and 8,327.38 is: 11,492.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,615.41 : 20,169.72 = 8,327.38 : x
  2. Step 2: Convert to fraction form
    14,615.41/20,169.72 = 8,327.38/x
  3. Step 3: Cross multiply
    14,615.41x = 20,169.72 × 8,327.38
  4. Step 4: Simplify right side
    14,615.41x = 167,960,780.45
  5. Step 5: Solve for x
    x = 167,960,780.45/14,615.41
  6. Step 6: Final answer
    x = 11,492.04

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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.