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Finding the Fourth Proportional to 14,617.53, 20,172.65 and 8,329.50

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Solution

The fourth proportional to 14,617.53, 20,172.65 and 8,329.50 is: 11,494.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.53 : 20,172.65 = 8,329.50 : x
  2. Step 2: Convert to fraction form
    14,617.53/20,172.65 = 8,329.50/x
  3. Step 3: Cross multiply
    14,617.53x = 20,172.65 × 8,329.50
  4. Step 4: Simplify right side
    14,617.53x = 168,028,046.53
  5. Step 5: Solve for x
    x = 168,028,046.53/14,617.53
  6. Step 6: Final answer
    x = 11,494.97

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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.