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Finding the Fourth Proportional to 24,080.64, 36,120.96 and 11,760

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Solution

The fourth proportional to 24,080.64, 36,120.96 and 11,760 is: 17,640

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,080.64 : 36,120.96 = 11,760 : x
  2. Step 2: Convert to fraction form
    24,080.64/36,120.96 = 11,760/x
  3. Step 3: Cross multiply
    24,080.64x = 36,120.96 × 11,760
  4. Step 4: Simplify right side
    24,080.64x = 424,782,489.60
  5. Step 5: Solve for x
    x = 424,782,489.60/24,080.64
  6. Step 6: Final answer
    x = 17,640

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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.