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Finding the Fourth Proportional to 21,006, 31,531.32 and 12,706.96

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Solution

The fourth proportional to 21,006, 31,531.32 and 12,706.96 is: 19,073.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,006 : 31,531.32 = 12,706.96 : x
  2. Step 2: Convert to fraction form
    21,006/31,531.32 = 12,706.96/x
  3. Step 3: Cross multiply
    21,006x = 31,531.32 × 12,706.96
  4. Step 4: Simplify right side
    21,006x = 400,667,221.99
  5. Step 5: Solve for x
    x = 400,667,221.99/21,006
  6. Step 6: Final answer
    x = 19,073.94

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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.