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Finding the Fourth Proportional to 14,502.04, 20,012.04 and 8,214

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Solution

The fourth proportional to 14,502.04, 20,012.04 and 8,214 is: 11,334.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,502.04 : 20,012.04 = 8,214 : x
  2. Step 2: Convert to fraction form
    14,502.04/20,012.04 = 8,214/x
  3. Step 3: Cross multiply
    14,502.04x = 20,012.04 × 8,214
  4. Step 4: Simplify right side
    14,502.04x = 164,378,896.56
  5. Step 5: Solve for x
    x = 164,378,896.56/14,502.04
  6. Step 6: Final answer
    x = 11,334.88

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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.