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Finding the Fourth Proportional to 12,324.64, 18,479.92 and 7,329.12

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Solution

The fourth proportional to 12,324.64, 18,479.92 and 7,329.12 is: 10,989.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324.64 : 18,479.92 = 7,329.12 : x
  2. Step 2: Convert to fraction form
    12,324.64/18,479.92 = 7,329.12/x
  3. Step 3: Cross multiply
    12,324.64x = 18,479.92 × 7,329.12
  4. Step 4: Simplify right side
    12,324.64x = 135,441,551.27
  5. Step 5: Solve for x
    x = 135,441,551.27/12,324.64
  6. Step 6: Final answer
    x = 10,989.49

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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.