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Finding the Fourth Proportional to 16,339.50, 22,546.65 and 9,168.47

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Solution

The fourth proportional to 16,339.50, 22,546.65 and 9,168.47 is: 12,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,339.50 : 22,546.65 = 9,168.47 : x
  2. Step 2: Convert to fraction form
    16,339.50/22,546.65 = 9,168.47/x
  3. Step 3: Cross multiply
    16,339.50x = 22,546.65 × 9,168.47
  4. Step 4: Simplify right side
    16,339.50x = 206,718,417.15
  5. Step 5: Solve for x
    x = 206,718,417.15/16,339.50
  6. Step 6: Final answer
    x = 12,651.46

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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.