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Finding the Fourth Proportional to 19,827.60, 29,736.72 and 6,679.68

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Solution

The fourth proportional to 19,827.60, 29,736.72 and 6,679.68 is: 10,017.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827.60 : 29,736.72 = 6,679.68 : x
  2. Step 2: Convert to fraction form
    19,827.60/29,736.72 = 6,679.68/x
  3. Step 3: Cross multiply
    19,827.60x = 29,736.72 × 6,679.68
  4. Step 4: Simplify right side
    19,827.60x = 198,631,773.85
  5. Step 5: Solve for x
    x = 198,631,773.85/19,827.60
  6. Step 6: Final answer
    x = 10,017.94

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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.