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Finding the Fourth Proportional to 23,342.40, 34,991.46 and 9,311.06

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Solution

The fourth proportional to 23,342.40, 34,991.46 and 9,311.06 is: 13,957.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,342.40 : 34,991.46 = 9,311.06 : x
  2. Step 2: Convert to fraction form
    23,342.40/34,991.46 = 9,311.06/x
  3. Step 3: Cross multiply
    23,342.40x = 34,991.46 × 9,311.06
  4. Step 4: Simplify right side
    23,342.40x = 325,807,583.55
  5. Step 5: Solve for x
    x = 325,807,583.55/23,342.40
  6. Step 6: Final answer
    x = 13,957.76

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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.