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Finding the Fourth Proportional to 13,042.92, 17,997.30 and 7,376.16

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Solution

The fourth proportional to 13,042.92, 17,997.30 and 7,376.16 is: 10,178.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,042.92 : 17,997.30 = 7,376.16 : x
  2. Step 2: Convert to fraction form
    13,042.92/17,997.30 = 7,376.16/x
  3. Step 3: Cross multiply
    13,042.92x = 17,997.30 × 7,376.16
  4. Step 4: Simplify right side
    13,042.92x = 132,750,964.37
  5. Step 5: Solve for x
    x = 132,750,964.37/13,042.92
  6. Step 6: Final answer
    x = 10,178.01

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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.