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Finding the Fourth Proportional to 12,185.99, 18,275.28 and 6,339.41

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Solution

The fourth proportional to 12,185.99, 18,275.28 and 6,339.41 is: 9,507.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.99 : 18,275.28 = 6,339.41 : x
  2. Step 2: Convert to fraction form
    12,185.99/18,275.28 = 6,339.41/x
  3. Step 3: Cross multiply
    12,185.99x = 18,275.28 × 6,339.41
  4. Step 4: Simplify right side
    12,185.99x = 115,854,401.41
  5. Step 5: Solve for x
    x = 115,854,401.41/12,185.99
  6. Step 6: Final answer
    x = 9,507.18

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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.