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Finding the Fourth Proportional to 14,568.16, 21,851.76 and 7,997.44

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Solution

The fourth proportional to 14,568.16, 21,851.76 and 7,997.44 is: 11,995.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,568.16 : 21,851.76 = 7,997.44 : x
  2. Step 2: Convert to fraction form
    14,568.16/21,851.76 = 7,997.44/x
  3. Step 3: Cross multiply
    14,568.16x = 21,851.76 × 7,997.44
  4. Step 4: Simplify right side
    14,568.16x = 174,758,139.49
  5. Step 5: Solve for x
    x = 174,758,139.49/14,568.16
  6. Step 6: Final answer
    x = 11,995.90

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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.