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Finding the Fourth Proportional to 22,634.10, 33,964.38 and 9,485.37

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Solution

The fourth proportional to 22,634.10, 33,964.38 and 9,485.37 is: 14,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,634.10 : 33,964.38 = 9,485.37 : x
  2. Step 2: Convert to fraction form
    22,634.10/33,964.38 = 9,485.37/x
  3. Step 3: Cross multiply
    22,634.10x = 33,964.38 × 9,485.37
  4. Step 4: Simplify right side
    22,634.10x = 322,164,711.12
  5. Step 5: Solve for x
    x = 322,164,711.12/22,634.10
  6. Step 6: Final answer
    x = 14,233.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.