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Finding the Fourth Proportional to 24,548.16, 36,817.92 and 7,912.32

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Solution

The fourth proportional to 24,548.16, 36,817.92 and 7,912.32 is: 11,867.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,548.16 : 36,817.92 = 7,912.32 : x
  2. Step 2: Convert to fraction form
    24,548.16/36,817.92 = 7,912.32/x
  3. Step 3: Cross multiply
    24,548.16x = 36,817.92 × 7,912.32
  4. Step 4: Simplify right side
    24,548.16x = 291,315,164.77
  5. Step 5: Solve for x
    x = 291,315,164.77/24,548.16
  6. Step 6: Final answer
    x = 11,867.09

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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.