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Finding the Fourth Proportional to 14,515.30, 20,031.90 and 8,849.20

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Solution

The fourth proportional to 14,515.30, 20,031.90 and 8,849.20 is: 12,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,515.30 : 20,031.90 = 8,849.20 : x
  2. Step 2: Convert to fraction form
    14,515.30/20,031.90 = 8,849.20/x
  3. Step 3: Cross multiply
    14,515.30x = 20,031.90 × 8,849.20
  4. Step 4: Simplify right side
    14,515.30x = 177,266,289.48
  5. Step 5: Solve for x
    x = 177,266,289.48/14,515.30
  6. Step 6: Final answer
    x = 12,212.38

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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.