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Finding the Fourth Proportional to 13,037.02, 19,540.86 and 6,467.92

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Solution

The fourth proportional to 13,037.02, 19,540.86 and 6,467.92 is: 9,694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,037.02 : 19,540.86 = 6,467.92 : x
  2. Step 2: Convert to fraction form
    13,037.02/19,540.86 = 6,467.92/x
  3. Step 3: Cross multiply
    13,037.02x = 19,540.86 × 6,467.92
  4. Step 4: Simplify right side
    13,037.02x = 126,388,719.21
  5. Step 5: Solve for x
    x = 126,388,719.21/13,037.02
  6. Step 6: Final answer
    x = 9,694.60

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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.