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Finding the Fourth Proportional to 12,336.50, 18,488.66 and 10,772.80

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Solution

The fourth proportional to 12,336.50, 18,488.66 and 10,772.80 is: 16,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,336.50 : 18,488.66 = 10,772.80 : x
  2. Step 2: Convert to fraction form
    12,336.50/18,488.66 = 10,772.80/x
  3. Step 3: Cross multiply
    12,336.50x = 18,488.66 × 10,772.80
  4. Step 4: Simplify right side
    12,336.50x = 199,174,536.36
  5. Step 5: Solve for x
    x = 199,174,536.36/12,336.50
  6. Step 6: Final answer
    x = 16,145.14

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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.