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Finding the Fourth Proportional to 14,221.72, 21,318 and 5,454.28

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Solution

The fourth proportional to 14,221.72, 21,318 and 5,454.28 is: 8,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,221.72 : 21,318 = 5,454.28 : x
  2. Step 2: Convert to fraction form
    14,221.72/21,318 = 5,454.28/x
  3. Step 3: Cross multiply
    14,221.72x = 21,318 × 5,454.28
  4. Step 4: Simplify right side
    14,221.72x = 116,274,341.04
  5. Step 5: Solve for x
    x = 116,274,341.04/14,221.72
  6. Step 6: Final answer
    x = 8,175.83

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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.