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Finding the Fourth Proportional to 21,011.57, 31,513.90 and 8,531.09

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Solution

The fourth proportional to 21,011.57, 31,513.90 and 8,531.09 is: 12,795.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,011.57 : 31,513.90 = 8,531.09 : x
  2. Step 2: Convert to fraction form
    21,011.57/31,513.90 = 8,531.09/x
  3. Step 3: Cross multiply
    21,011.57x = 31,513.90 × 8,531.09
  4. Step 4: Simplify right side
    21,011.57x = 268,847,759.58
  5. Step 5: Solve for x
    x = 268,847,759.58/21,011.57
  6. Step 6: Final answer
    x = 12,795.23

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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.