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Finding the Fourth Proportional to 21,486.56, 29,770.80 and 21,020

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Solution

The fourth proportional to 21,486.56, 29,770.80 and 21,020 is: 29,124.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,486.56 : 29,770.80 = 21,020 : x
  2. Step 2: Convert to fraction form
    21,486.56/29,770.80 = 21,020/x
  3. Step 3: Cross multiply
    21,486.56x = 29,770.80 × 21,020
  4. Step 4: Simplify right side
    21,486.56x = 625,782,216
  5. Step 5: Solve for x
    x = 625,782,216/21,486.56
  6. Step 6: Final answer
    x = 29,124.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.