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Finding the Fourth Proportional to 23,283.38, 32,131 and 12,673.02

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Solution

The fourth proportional to 23,283.38, 32,131 and 12,673.02 is: 17,488.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,283.38 : 32,131 = 12,673.02 : x
  2. Step 2: Convert to fraction form
    23,283.38/32,131 = 12,673.02/x
  3. Step 3: Cross multiply
    23,283.38x = 32,131 × 12,673.02
  4. Step 4: Simplify right side
    23,283.38x = 407,196,805.62
  5. Step 5: Solve for x
    x = 407,196,805.62/23,283.38
  6. Step 6: Final answer
    x = 17,488.73

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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.