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Finding the Fourth Proportional to 14,814.82, 20,444.31 and 8,100.38

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Solution

The fourth proportional to 14,814.82, 20,444.31 and 8,100.38 is: 11,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,814.82 : 20,444.31 = 8,100.38 : x
  2. Step 2: Convert to fraction form
    14,814.82/20,444.31 = 8,100.38/x
  3. Step 3: Cross multiply
    14,814.82x = 20,444.31 × 8,100.38
  4. Step 4: Simplify right side
    14,814.82x = 165,606,679.84
  5. Step 5: Solve for x
    x = 165,606,679.84/14,814.82
  6. Step 6: Final answer
    x = 11,178.45

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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.