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Finding the Fourth Proportional to 21,331.60, 31,810.76 and 20,167

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Solution

The fourth proportional to 21,331.60, 31,810.76 and 20,167 is: 30,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,331.60 : 31,810.76 = 20,167 : x
  2. Step 2: Convert to fraction form
    21,331.60/31,810.76 = 20,167/x
  3. Step 3: Cross multiply
    21,331.60x = 31,810.76 × 20,167
  4. Step 4: Simplify right side
    21,331.60x = 641,527,596.92
  5. Step 5: Solve for x
    x = 641,527,596.92/21,331.60
  6. Step 6: Final answer
    x = 30,074.05

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