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Finding the Fourth Proportional to 14,731.73, 20,329.50 and 8,017.50

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Solution

The fourth proportional to 14,731.73, 20,329.50 and 8,017.50 is: 11,063.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,731.73 : 20,329.50 = 8,017.50 : x
  2. Step 2: Convert to fraction form
    14,731.73/20,329.50 = 8,017.50/x
  3. Step 3: Cross multiply
    14,731.73x = 20,329.50 × 8,017.50
  4. Step 4: Simplify right side
    14,731.73x = 162,991,766.25
  5. Step 5: Solve for x
    x = 162,991,766.25/14,731.73
  6. Step 6: Final answer
    x = 11,063.99

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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.