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Finding the Fourth Proportional to 14,905.31, 20,524.25 and 14,577.26

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Solution

The fourth proportional to 14,905.31, 20,524.25 and 14,577.26 is: 20,072.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,905.31 : 20,524.25 = 14,577.26 : x
  2. Step 2: Convert to fraction form
    14,905.31/20,524.25 = 14,577.26/x
  3. Step 3: Cross multiply
    14,905.31x = 20,524.25 × 14,577.26
  4. Step 4: Simplify right side
    14,905.31x = 299,187,262.38
  5. Step 5: Solve for x
    x = 299,187,262.38/14,905.31
  6. Step 6: Final answer
    x = 20,072.54

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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.