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Finding the Fourth Proportional to 24,576.82, 36,863.18 and 12,717.82

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Solution

The fourth proportional to 24,576.82, 36,863.18 and 12,717.82 is: 19,075.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,576.82 : 36,863.18 = 12,717.82 : x
  2. Step 2: Convert to fraction form
    24,576.82/36,863.18 = 12,717.82/x
  3. Step 3: Cross multiply
    24,576.82x = 36,863.18 × 12,717.82
  4. Step 4: Simplify right side
    24,576.82x = 468,819,103.55
  5. Step 5: Solve for x
    x = 468,819,103.55/24,576.82
  6. Step 6: Final answer
    x = 19,075.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.