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Finding the Fourth Proportional to 14,687.63, 20,270.15 and 8,401.22

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Solution

The fourth proportional to 14,687.63, 20,270.15 and 8,401.22 is: 11,594.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,687.63 : 20,270.15 = 8,401.22 : x
  2. Step 2: Convert to fraction form
    14,687.63/20,270.15 = 8,401.22/x
  3. Step 3: Cross multiply
    14,687.63x = 20,270.15 × 8,401.22
  4. Step 4: Simplify right side
    14,687.63x = 170,293,846.23
  5. Step 5: Solve for x
    x = 170,293,846.23/14,687.63
  6. Step 6: Final answer
    x = 11,594.38

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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.