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Finding the Fourth Proportional to 14,996.58, 20,695.44 and 8,282.38

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Solution

The fourth proportional to 14,996.58, 20,695.44 and 8,282.38 is: 11,429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,996.58 : 20,695.44 = 8,282.38 : x
  2. Step 2: Convert to fraction form
    14,996.58/20,695.44 = 8,282.38/x
  3. Step 3: Cross multiply
    14,996.58x = 20,695.44 × 8,282.38
  4. Step 4: Simplify right side
    14,996.58x = 171,407,446.61
  5. Step 5: Solve for x
    x = 171,407,446.61/14,996.58
  6. Step 6: Final answer
    x = 11,429.77

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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.