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Finding the Fourth Proportional to 14,549.04, 20,076.48 and 8,262.36

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Solution

The fourth proportional to 14,549.04, 20,076.48 and 8,262.36 is: 11,401.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.04 : 20,076.48 = 8,262.36 : x
  2. Step 2: Convert to fraction form
    14,549.04/20,076.48 = 8,262.36/x
  3. Step 3: Cross multiply
    14,549.04x = 20,076.48 × 8,262.36
  4. Step 4: Simplify right side
    14,549.04x = 165,879,105.29
  5. Step 5: Solve for x
    x = 165,879,105.29/14,549.04
  6. Step 6: Final answer
    x = 11,401.38

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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.