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Finding the Fourth Proportional to 21,341.68, 31,858.49 and 20,383.12

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Solution

The fourth proportional to 21,341.68, 31,858.49 and 20,383.12 is: 30,427.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,341.68 : 31,858.49 = 20,383.12 : x
  2. Step 2: Convert to fraction form
    21,341.68/31,858.49 = 20,383.12/x
  3. Step 3: Cross multiply
    21,341.68x = 31,858.49 × 20,383.12
  4. Step 4: Simplify right side
    21,341.68x = 649,375,424.69
  5. Step 5: Solve for x
    x = 649,375,424.69/21,341.68
  6. Step 6: Final answer
    x = 30,427.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.