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Finding the Fourth Proportional to 21,982.68, 30,330.72 and 13,032.30

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Solution

The fourth proportional to 21,982.68, 30,330.72 and 13,032.30 is: 17,981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,982.68 : 30,330.72 = 13,032.30 : x
  2. Step 2: Convert to fraction form
    21,982.68/30,330.72 = 13,032.30/x
  3. Step 3: Cross multiply
    21,982.68x = 30,330.72 × 13,032.30
  4. Step 4: Simplify right side
    21,982.68x = 395,279,042.26
  5. Step 5: Solve for x
    x = 395,279,042.26/21,982.68
  6. Step 6: Final answer
    x = 17,981.39

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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.