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Finding the Fourth Proportional to 13,049.37, 18,007.94 and 7,384.16

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Solution

The fourth proportional to 13,049.37, 18,007.94 and 7,384.16 is: 10,190.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.37 : 18,007.94 = 7,384.16 : x
  2. Step 2: Convert to fraction form
    13,049.37/18,007.94 = 7,384.16/x
  3. Step 3: Cross multiply
    13,049.37x = 18,007.94 × 7,384.16
  4. Step 4: Simplify right side
    13,049.37x = 132,973,573.71
  5. Step 5: Solve for x
    x = 132,973,573.71/13,049.37
  6. Step 6: Final answer
    x = 10,190.04

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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.