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Finding the Fourth Proportional to 13,071.87, 18,029.61 and 8,293.32

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Solution

The fourth proportional to 13,071.87, 18,029.61 and 8,293.32 is: 11,438.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071.87 : 18,029.61 = 8,293.32 : x
  2. Step 2: Convert to fraction form
    13,071.87/18,029.61 = 8,293.32/x
  3. Step 3: Cross multiply
    13,071.87x = 18,029.61 × 8,293.32
  4. Step 4: Simplify right side
    13,071.87x = 149,525,325.21
  5. Step 5: Solve for x
    x = 149,525,325.21/13,071.87
  6. Step 6: Final answer
    x = 11,438.71

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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.