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Finding the Fourth Proportional to 22,164.56, 30,589.80 and 12,733.10

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Solution

The fourth proportional to 22,164.56, 30,589.80 and 12,733.10 is: 17,573.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164.56 : 30,589.80 = 12,733.10 : x
  2. Step 2: Convert to fraction form
    22,164.56/30,589.80 = 12,733.10/x
  3. Step 3: Cross multiply
    22,164.56x = 30,589.80 × 12,733.10
  4. Step 4: Simplify right side
    22,164.56x = 389,502,982.38
  5. Step 5: Solve for x
    x = 389,502,982.38/22,164.56
  6. Step 6: Final answer
    x = 17,573.23

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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.