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Finding the Fourth Proportional to 19,885.16, 29,827.56 and 5,093.96

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Solution

The fourth proportional to 19,885.16, 29,827.56 and 5,093.96 is: 7,640.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,885.16 : 29,827.56 = 5,093.96 : x
  2. Step 2: Convert to fraction form
    19,885.16/29,827.56 = 5,093.96/x
  3. Step 3: Cross multiply
    19,885.16x = 29,827.56 × 5,093.96
  4. Step 4: Simplify right side
    19,885.16x = 151,940,397.54
  5. Step 5: Solve for x
    x = 151,940,397.54/19,885.16
  6. Step 6: Final answer
    x = 7,640.89

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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.