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Finding the Fourth Proportional to 24,577.28, 36,870.24 and 7,940.96

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Solution

The fourth proportional to 24,577.28, 36,870.24 and 7,940.96 is: 11,912.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,577.28 : 36,870.24 = 7,940.96 : x
  2. Step 2: Convert to fraction form
    24,577.28/36,870.24 = 7,940.96/x
  3. Step 3: Cross multiply
    24,577.28x = 36,870.24 × 7,940.96
  4. Step 4: Simplify right side
    24,577.28x = 292,785,101.03
  5. Step 5: Solve for x
    x = 292,785,101.03/24,577.28
  6. Step 6: Final answer
    x = 11,912.84

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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.