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Finding the Fourth Proportional to 12,348.96, 17,033.36 and 8,814.16

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Solution

The fourth proportional to 12,348.96, 17,033.36 and 8,814.16 is: 12,157.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348.96 : 17,033.36 = 8,814.16 : x
  2. Step 2: Convert to fraction form
    12,348.96/17,033.36 = 8,814.16/x
  3. Step 3: Cross multiply
    12,348.96x = 17,033.36 × 8,814.16
  4. Step 4: Simplify right side
    12,348.96x = 150,134,760.38
  5. Step 5: Solve for x
    x = 150,134,760.38/12,348.96
  6. Step 6: Final answer
    x = 12,157.68

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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.