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Finding the Fourth Proportional to 23,516.38, 32,453 and 12,907

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Solution

The fourth proportional to 23,516.38, 32,453 and 12,907 is: 17,811.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,516.38 : 32,453 = 12,907 : x
  2. Step 2: Convert to fraction form
    23,516.38/32,453 = 12,907/x
  3. Step 3: Cross multiply
    23,516.38x = 32,453 × 12,907
  4. Step 4: Simplify right side
    23,516.38x = 418,870,871
  5. Step 5: Solve for x
    x = 418,870,871/23,516.38
  6. Step 6: Final answer
    x = 17,811.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.