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Finding the Fourth Proportional to 19,976.40, 29,964.60 and 6,123.60

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Solution

The fourth proportional to 19,976.40, 29,964.60 and 6,123.60 is: 9,185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,976.40 : 29,964.60 = 6,123.60 : x
  2. Step 2: Convert to fraction form
    19,976.40/29,964.60 = 6,123.60/x
  3. Step 3: Cross multiply
    19,976.40x = 29,964.60 × 6,123.60
  4. Step 4: Simplify right side
    19,976.40x = 183,491,224.56
  5. Step 5: Solve for x
    x = 183,491,224.56/19,976.40
  6. Step 6: Final answer
    x = 9,185.40

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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.