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Finding the Fourth Proportional to 19,971.70, 27,566.13 and 12,022.90

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Solution

The fourth proportional to 19,971.70, 27,566.13 and 12,022.90 is: 16,594.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,971.70 : 27,566.13 = 12,022.90 : x
  2. Step 2: Convert to fraction form
    19,971.70/27,566.13 = 12,022.90/x
  3. Step 3: Cross multiply
    19,971.70x = 27,566.13 × 12,022.90
  4. Step 4: Simplify right side
    19,971.70x = 331,424,824.38
  5. Step 5: Solve for x
    x = 331,424,824.38/19,971.70
  6. Step 6: Final answer
    x = 16,594.72

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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.