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Finding the Fourth Proportional to 24,740.64, 37,105.20 and 8,096.40

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Solution

The fourth proportional to 24,740.64, 37,105.20 and 8,096.40 is: 12,142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,740.64 : 37,105.20 = 8,096.40 : x
  2. Step 2: Convert to fraction form
    24,740.64/37,105.20 = 8,096.40/x
  3. Step 3: Cross multiply
    24,740.64x = 37,105.20 × 8,096.40
  4. Step 4: Simplify right side
    24,740.64x = 300,418,541.28
  5. Step 5: Solve for x
    x = 300,418,541.28/24,740.64
  6. Step 6: Final answer
    x = 12,142.72

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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.