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Finding the Fourth Proportional to 24,384.46, 36,576.69 and 6,854.29

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Solution

The fourth proportional to 24,384.46, 36,576.69 and 6,854.29 is: 10,281.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.46 : 36,576.69 = 6,854.29 : x
  2. Step 2: Convert to fraction form
    24,384.46/36,576.69 = 6,854.29/x
  3. Step 3: Cross multiply
    24,384.46x = 36,576.69 × 6,854.29
  4. Step 4: Simplify right side
    24,384.46x = 250,707,240.50
  5. Step 5: Solve for x
    x = 250,707,240.50/24,384.46
  6. Step 6: Final answer
    x = 10,281.44

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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.