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Finding the Fourth Proportional to 23,796.92, 32,846.51 and 14,366.09

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Solution

The fourth proportional to 23,796.92, 32,846.51 and 14,366.09 is: 19,829.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,796.92 : 32,846.51 = 14,366.09 : x
  2. Step 2: Convert to fraction form
    23,796.92/32,846.51 = 14,366.09/x
  3. Step 3: Cross multiply
    23,796.92x = 32,846.51 × 14,366.09
  4. Step 4: Simplify right side
    23,796.92x = 471,875,918.85
  5. Step 5: Solve for x
    x = 471,875,918.85/23,796.92
  6. Step 6: Final answer
    x = 19,829.29

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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.