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Finding the Fourth Proportional to 13,071.92, 18,037.96 and 7,406.24

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Solution

The fourth proportional to 13,071.92, 18,037.96 and 7,406.24 is: 10,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071.92 : 18,037.96 = 7,406.24 : x
  2. Step 2: Convert to fraction form
    13,071.92/18,037.96 = 7,406.24/x
  3. Step 3: Cross multiply
    13,071.92x = 18,037.96 × 7,406.24
  4. Step 4: Simplify right side
    13,071.92x = 133,593,460.87
  5. Step 5: Solve for x
    x = 133,593,460.87/13,071.92
  6. Step 6: Final answer
    x = 10,219.88

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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.