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Finding the Fourth Proportional to 12,368.69, 18,536.22 and 6,813.71

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Solution

The fourth proportional to 12,368.69, 18,536.22 and 6,813.71 is: 10,211.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,368.69 : 18,536.22 = 6,813.71 : x
  2. Step 2: Convert to fraction form
    12,368.69/18,536.22 = 6,813.71/x
  3. Step 3: Cross multiply
    12,368.69x = 18,536.22 × 6,813.71
  4. Step 4: Simplify right side
    12,368.69x = 126,300,334.90
  5. Step 5: Solve for x
    x = 126,300,334.90/12,368.69
  6. Step 6: Final answer
    x = 10,211.30

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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.