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Finding the Fourth Proportional to 21,262.80, 31,892.10 and 6,471.84

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Solution

The fourth proportional to 21,262.80, 31,892.10 and 6,471.84 is: 9,707.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,262.80 : 31,892.10 = 6,471.84 : x
  2. Step 2: Convert to fraction form
    21,262.80/31,892.10 = 6,471.84/x
  3. Step 3: Cross multiply
    21,262.80x = 31,892.10 × 6,471.84
  4. Step 4: Simplify right side
    21,262.80x = 206,400,568.46
  5. Step 5: Solve for x
    x = 206,400,568.46/21,262.80
  6. Step 6: Final answer
    x = 9,707.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.