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Finding the Fourth Proportional to 21,575.38, 29,766.89 and 12,616.54

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Solution

The fourth proportional to 21,575.38, 29,766.89 and 12,616.54 is: 17,406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,575.38 : 29,766.89 = 12,616.54 : x
  2. Step 2: Convert to fraction form
    21,575.38/29,766.89 = 12,616.54/x
  3. Step 3: Cross multiply
    21,575.38x = 29,766.89 × 12,616.54
  4. Step 4: Simplify right side
    21,575.38x = 375,554,946.44
  5. Step 5: Solve for x
    x = 375,554,946.44/21,575.38
  6. Step 6: Final answer
    x = 17,406.64

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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.