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Finding the Fourth Proportional to 25,694.92, 38,513.02 and 11,665.64

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Solution

The fourth proportional to 25,694.92, 38,513.02 and 11,665.64 is: 17,485.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,694.92 : 38,513.02 = 11,665.64 : x
  2. Step 2: Convert to fraction form
    25,694.92/38,513.02 = 11,665.64/x
  3. Step 3: Cross multiply
    25,694.92x = 38,513.02 × 11,665.64
  4. Step 4: Simplify right side
    25,694.92x = 449,279,026.63
  5. Step 5: Solve for x
    x = 449,279,026.63/25,694.92
  6. Step 6: Final answer
    x = 17,485.13

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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.