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Finding the Fourth Proportional to 29,709.34, 40,998.66 and 16,280.57

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Solution

The fourth proportional to 29,709.34, 40,998.66 and 16,280.57 is: 22,467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,709.34 : 40,998.66 = 16,280.57 : x
  2. Step 2: Convert to fraction form
    29,709.34/40,998.66 = 16,280.57/x
  3. Step 3: Cross multiply
    29,709.34x = 40,998.66 × 16,280.57
  4. Step 4: Simplify right side
    29,709.34x = 667,481,554.04
  5. Step 5: Solve for x
    x = 667,481,554.04/29,709.34
  6. Step 6: Final answer
    x = 22,467.06

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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.