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Finding the Fourth Proportional to 12,297.84, 18,439.32 and 4,497.48

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Solution

The fourth proportional to 12,297.84, 18,439.32 and 4,497.48 is: 6,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.84 : 18,439.32 = 4,497.48 : x
  2. Step 2: Convert to fraction form
    12,297.84/18,439.32 = 4,497.48/x
  3. Step 3: Cross multiply
    12,297.84x = 18,439.32 × 4,497.48
  4. Step 4: Simplify right side
    12,297.84x = 82,930,472.91
  5. Step 5: Solve for x
    x = 82,930,472.91/12,297.84
  6. Step 6: Final answer
    x = 6,743.50

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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.