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Finding the Fourth Proportional to 14,576.39, 21,859.21 and 5,213.87

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Solution

The fourth proportional to 14,576.39, 21,859.21 and 5,213.87 is: 7,818.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576.39 : 21,859.21 = 5,213.87 : x
  2. Step 2: Convert to fraction form
    14,576.39/21,859.21 = 5,213.87/x
  3. Step 3: Cross multiply
    14,576.39x = 21,859.21 × 5,213.87
  4. Step 4: Simplify right side
    14,576.39x = 113,971,079.24
  5. Step 5: Solve for x
    x = 113,971,079.24/14,576.39
  6. Step 6: Final answer
    x = 7,818.88

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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.