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Finding the Fourth Proportional to 13,102.92, 18,080.46 and 7,438.32

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Solution

The fourth proportional to 13,102.92, 18,080.46 and 7,438.32 is: 10,263.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.92 : 18,080.46 = 7,438.32 : x
  2. Step 2: Convert to fraction form
    13,102.92/18,080.46 = 7,438.32/x
  3. Step 3: Cross multiply
    13,102.92x = 18,080.46 × 7,438.32
  4. Step 4: Simplify right side
    13,102.92x = 134,488,247.23
  5. Step 5: Solve for x
    x = 134,488,247.23/13,102.92
  6. Step 6: Final answer
    x = 10,263.99

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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.