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Finding the Fourth Proportional to 13,078.06, 18,039.92 and 8,362.24

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Solution

The fourth proportional to 13,078.06, 18,039.92 and 8,362.24 is: 11,534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.06 : 18,039.92 = 8,362.24 : x
  2. Step 2: Convert to fraction form
    13,078.06/18,039.92 = 8,362.24/x
  3. Step 3: Cross multiply
    13,078.06x = 18,039.92 × 8,362.24
  4. Step 4: Simplify right side
    13,078.06x = 150,854,053.71
  5. Step 5: Solve for x
    x = 150,854,053.71/13,078.06
  6. Step 6: Final answer
    x = 11,534.90

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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.