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Finding the Fourth Proportional to 17,313.92, 25,946.24 and 13,400

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Solution

The fourth proportional to 17,313.92, 25,946.24 and 13,400 is: 20,080.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,313.92 : 25,946.24 = 13,400 : x
  2. Step 2: Convert to fraction form
    17,313.92/25,946.24 = 13,400/x
  3. Step 3: Cross multiply
    17,313.92x = 25,946.24 × 13,400
  4. Step 4: Simplify right side
    17,313.92x = 347,679,616
  5. Step 5: Solve for x
    x = 347,679,616/17,313.92
  6. Step 6: Final answer
    x = 20,080.93

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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.