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Finding the Fourth Proportional to 12,329.66, 18,511.68 and 6,329.94

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Solution

The fourth proportional to 12,329.66, 18,511.68 and 6,329.94 is: 9,503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,329.66 : 18,511.68 = 6,329.94 : x
  2. Step 2: Convert to fraction form
    12,329.66/18,511.68 = 6,329.94/x
  3. Step 3: Cross multiply
    12,329.66x = 18,511.68 × 6,329.94
  4. Step 4: Simplify right side
    12,329.66x = 117,177,823.70
  5. Step 5: Solve for x
    x = 117,177,823.70/12,329.66
  6. Step 6: Final answer
    x = 9,503.74

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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.