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Finding the Fourth Proportional to 14,496.20, 21,736.20 and 6,174.80

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Solution

The fourth proportional to 14,496.20, 21,736.20 and 6,174.80 is: 9,258.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.20 : 21,736.20 = 6,174.80 : x
  2. Step 2: Convert to fraction form
    14,496.20/21,736.20 = 6,174.80/x
  3. Step 3: Cross multiply
    14,496.20x = 21,736.20 × 6,174.80
  4. Step 4: Simplify right side
    14,496.20x = 134,216,687.76
  5. Step 5: Solve for x
    x = 134,216,687.76/14,496.20
  6. Step 6: Final answer
    x = 9,258.75

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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.