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Finding the Fourth Proportional to 21,572.50, 29,770.77 and 13,187.38

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Solution

The fourth proportional to 21,572.50, 29,770.77 and 13,187.38 is: 18,199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,572.50 : 29,770.77 = 13,187.38 : x
  2. Step 2: Convert to fraction form
    21,572.50/29,770.77 = 13,187.38/x
  3. Step 3: Cross multiply
    21,572.50x = 29,770.77 × 13,187.38
  4. Step 4: Simplify right side
    21,572.50x = 392,598,456.88
  5. Step 5: Solve for x
    x = 392,598,456.88/21,572.50
  6. Step 6: Final answer
    x = 18,199.02

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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.