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Finding the Fourth Proportional to 21,005, 31,529.82 and 12,705.96

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Solution

The fourth proportional to 21,005, 31,529.82 and 12,705.96 is: 19,072.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005 : 31,529.82 = 12,705.96 : x
  2. Step 2: Convert to fraction form
    21,005/31,529.82 = 12,705.96/x
  3. Step 3: Cross multiply
    21,005x = 31,529.82 × 12,705.96
  4. Step 4: Simplify right side
    21,005x = 400,616,631.73
  5. Step 5: Solve for x
    x = 400,616,631.73/21,005
  6. Step 6: Final answer
    x = 19,072.44

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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.