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Finding the Fourth Proportional to 21,257.43, 31,871.72 and 11,903.88

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Solution

The fourth proportional to 21,257.43, 31,871.72 and 11,903.88 is: 17,847.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,257.43 : 31,871.72 = 11,903.88 : x
  2. Step 2: Convert to fraction form
    21,257.43/31,871.72 = 11,903.88/x
  3. Step 3: Cross multiply
    21,257.43x = 31,871.72 × 11,903.88
  4. Step 4: Simplify right side
    21,257.43x = 379,397,070.75
  5. Step 5: Solve for x
    x = 379,397,070.75/21,257.43
  6. Step 6: Final answer
    x = 17,847.74

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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.