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Finding the Fourth Proportional to 13,057.28, 19,576.96 and 7,216.64

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Solution

The fourth proportional to 13,057.28, 19,576.96 and 7,216.64 is: 10,820.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.28 : 19,576.96 = 7,216.64 : x
  2. Step 2: Convert to fraction form
    13,057.28/19,576.96 = 7,216.64/x
  3. Step 3: Cross multiply
    13,057.28x = 19,576.96 × 7,216.64
  4. Step 4: Simplify right side
    13,057.28x = 141,279,872.61
  5. Step 5: Solve for x
    x = 141,279,872.61/13,057.28
  6. Step 6: Final answer
    x = 10,820.01

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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.