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Finding the Fourth Proportional to 21,709.31, 29,960.28 and 12,150.09

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Solution

The fourth proportional to 21,709.31, 29,960.28 and 12,150.09 is: 16,767.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,709.31 : 29,960.28 = 12,150.09 : x
  2. Step 2: Convert to fraction form
    21,709.31/29,960.28 = 12,150.09/x
  3. Step 3: Cross multiply
    21,709.31x = 29,960.28 × 12,150.09
  4. Step 4: Simplify right side
    21,709.31x = 364,020,098.43
  5. Step 5: Solve for x
    x = 364,020,098.43/21,709.31
  6. Step 6: Final answer
    x = 16,767.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.