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Finding the Fourth Proportional to 22,276.50, 30,741.57 and 13,324.38

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Solution

The fourth proportional to 22,276.50, 30,741.57 and 13,324.38 is: 18,387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,276.50 : 30,741.57 = 13,324.38 : x
  2. Step 2: Convert to fraction form
    22,276.50/30,741.57 = 13,324.38/x
  3. Step 3: Cross multiply
    22,276.50x = 30,741.57 × 13,324.38
  4. Step 4: Simplify right side
    22,276.50x = 409,612,360.48
  5. Step 5: Solve for x
    x = 409,612,360.48/22,276.50
  6. Step 6: Final answer
    x = 18,387.64

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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.