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Finding the Fourth Proportional to 23,557.64, 35,314.50 and 7,964.44

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Solution

The fourth proportional to 23,557.64, 35,314.50 and 7,964.44 is: 11,939.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,557.64 : 35,314.50 = 7,964.44 : x
  2. Step 2: Convert to fraction form
    23,557.64/35,314.50 = 7,964.44/x
  3. Step 3: Cross multiply
    23,557.64x = 35,314.50 × 7,964.44
  4. Step 4: Simplify right side
    23,557.64x = 281,260,216.38
  5. Step 5: Solve for x
    x = 281,260,216.38/23,557.64
  6. Step 6: Final answer
    x = 11,939.24

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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.