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Finding the Fourth Proportional to 14,617.14, 20,171.64 and 8,329.50

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Solution

The fourth proportional to 14,617.14, 20,171.64 and 8,329.50 is: 11,494.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.14 : 20,171.64 = 8,329.50 : x
  2. Step 2: Convert to fraction form
    14,617.14/20,171.64 = 8,329.50/x
  3. Step 3: Cross multiply
    14,617.14x = 20,171.64 × 8,329.50
  4. Step 4: Simplify right side
    14,617.14x = 168,019,675.38
  5. Step 5: Solve for x
    x = 168,019,675.38/14,617.14
  6. Step 6: Final answer
    x = 11,494.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.