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Finding the Fourth Proportional to 22,958.64, 34,433.42 and 6,314.37

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Solution

The fourth proportional to 22,958.64, 34,433.42 and 6,314.37 is: 9,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,958.64 : 34,433.42 = 6,314.37 : x
  2. Step 2: Convert to fraction form
    22,958.64/34,433.42 = 6,314.37/x
  3. Step 3: Cross multiply
    22,958.64x = 34,433.42 × 6,314.37
  4. Step 4: Simplify right side
    22,958.64x = 217,425,322.67
  5. Step 5: Solve for x
    x = 217,425,322.67/22,958.64
  6. Step 6: Final answer
    x = 9,470.30

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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.