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Finding the Fourth Proportional to 14,864.20, 20,512.54 and 8,150.11

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Solution

The fourth proportional to 14,864.20, 20,512.54 and 8,150.11 is: 11,247.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,864.20 : 20,512.54 = 8,150.11 : x
  2. Step 2: Convert to fraction form
    14,864.20/20,512.54 = 8,150.11/x
  3. Step 3: Cross multiply
    14,864.20x = 20,512.54 × 8,150.11
  4. Step 4: Simplify right side
    14,864.20x = 167,179,457.38
  5. Step 5: Solve for x
    x = 167,179,457.38/14,864.20
  6. Step 6: Final answer
    x = 11,247.12

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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.