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Finding the Fourth Proportional to 14,164.46, 21,251.91 and 5,845.20

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Solution

The fourth proportional to 14,164.46, 21,251.91 and 5,845.20 is: 8,769.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.46 : 21,251.91 = 5,845.20 : x
  2. Step 2: Convert to fraction form
    14,164.46/21,251.91 = 5,845.20/x
  3. Step 3: Cross multiply
    14,164.46x = 21,251.91 × 5,845.20
  4. Step 4: Simplify right side
    14,164.46x = 124,221,664.33
  5. Step 5: Solve for x
    x = 124,221,664.33/14,164.46
  6. Step 6: Final answer
    x = 8,769.96

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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.