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Finding the Fourth Proportional to 29,664.94, 40,965 and 19,072.84

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Solution

The fourth proportional to 29,664.94, 40,965 and 19,072.84 is: 26,338.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,664.94 : 40,965 = 19,072.84 : x
  2. Step 2: Convert to fraction form
    29,664.94/40,965 = 19,072.84/x
  3. Step 3: Cross multiply
    29,664.94x = 40,965 × 19,072.84
  4. Step 4: Simplify right side
    29,664.94x = 781,318,890.60
  5. Step 5: Solve for x
    x = 781,318,890.60/29,664.94
  6. Step 6: Final answer
    x = 26,338.12

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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.