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Finding the Fourth Proportional to 22,914.50, 31,621.94 and 13,962

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Solution

The fourth proportional to 22,914.50, 31,621.94 and 13,962 is: 19,267.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,914.50 : 31,621.94 = 13,962 : x
  2. Step 2: Convert to fraction form
    22,914.50/31,621.94 = 13,962/x
  3. Step 3: Cross multiply
    22,914.50x = 31,621.94 × 13,962
  4. Step 4: Simplify right side
    22,914.50x = 441,505,526.28
  5. Step 5: Solve for x
    x = 441,505,526.28/22,914.50
  6. Step 6: Final answer
    x = 19,267.52

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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.