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Finding the Fourth Proportional to 21,381.71, 32,079.48 and 10,286.96

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Solution

The fourth proportional to 21,381.71, 32,079.48 and 10,286.96 is: 15,433.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,381.71 : 32,079.48 = 10,286.96 : x
  2. Step 2: Convert to fraction form
    21,381.71/32,079.48 = 10,286.96/x
  3. Step 3: Cross multiply
    21,381.71x = 32,079.48 × 10,286.96
  4. Step 4: Simplify right side
    21,381.71x = 330,000,327.58
  5. Step 5: Solve for x
    x = 330,000,327.58/21,381.71
  6. Step 6: Final answer
    x = 15,433.77

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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.