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Finding the Fourth Proportional to 14,529.12, 20,052 and 8,243.52

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Solution

The fourth proportional to 14,529.12, 20,052 and 8,243.52 is: 11,377.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,529.12 : 20,052 = 8,243.52 : x
  2. Step 2: Convert to fraction form
    14,529.12/20,052 = 8,243.52/x
  3. Step 3: Cross multiply
    14,529.12x = 20,052 × 8,243.52
  4. Step 4: Simplify right side
    14,529.12x = 165,299,063.04
  5. Step 5: Solve for x
    x = 165,299,063.04/14,529.12
  6. Step 6: Final answer
    x = 11,377.09

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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.