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Finding the Fourth Proportional to 21,162.60, 31,700.82 and 13,744.56

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Solution

The fourth proportional to 21,162.60, 31,700.82 and 13,744.56 is: 20,588.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,162.60 : 31,700.82 = 13,744.56 : x
  2. Step 2: Convert to fraction form
    21,162.60/31,700.82 = 13,744.56/x
  3. Step 3: Cross multiply
    21,162.60x = 31,700.82 × 13,744.56
  4. Step 4: Simplify right side
    21,162.60x = 435,713,822.54
  5. Step 5: Solve for x
    x = 435,713,822.54/21,162.60
  6. Step 6: Final answer
    x = 20,588.86

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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.