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Finding the Fourth Proportional to 14,571.05, 20,115.30 and 9,542.97

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Solution

The fourth proportional to 14,571.05, 20,115.30 and 9,542.97 is: 13,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571.05 : 20,115.30 = 9,542.97 : x
  2. Step 2: Convert to fraction form
    14,571.05/20,115.30 = 9,542.97/x
  3. Step 3: Cross multiply
    14,571.05x = 20,115.30 × 9,542.97
  4. Step 4: Simplify right side
    14,571.05x = 191,959,740.23
  5. Step 5: Solve for x
    x = 191,959,740.23/14,571.05
  6. Step 6: Final answer
    x = 13,174.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.