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Finding the Fourth Proportional to 24,384.50, 36,576.75 and 6,854.33

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Solution

The fourth proportional to 24,384.50, 36,576.75 and 6,854.33 is: 10,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.50 : 36,576.75 = 6,854.33 : x
  2. Step 2: Convert to fraction form
    24,384.50/36,576.75 = 6,854.33/x
  3. Step 3: Cross multiply
    24,384.50x = 36,576.75 × 6,854.33
  4. Step 4: Simplify right side
    24,384.50x = 250,709,180.54
  5. Step 5: Solve for x
    x = 250,709,180.54/24,384.50
  6. Step 6: Final answer
    x = 10,281.50

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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.