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Finding the Fourth Proportional to 21,012.71, 31,519.08 and 12,141.54

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Solution

The fourth proportional to 21,012.71, 31,519.08 and 12,141.54 is: 18,212.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,012.71 : 31,519.08 = 12,141.54 : x
  2. Step 2: Convert to fraction form
    21,012.71/31,519.08 = 12,141.54/x
  3. Step 3: Cross multiply
    21,012.71x = 31,519.08 × 12,141.54
  4. Step 4: Simplify right side
    21,012.71x = 382,690,170.58
  5. Step 5: Solve for x
    x = 382,690,170.58/21,012.71
  6. Step 6: Final answer
    x = 18,212.32

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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.