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Finding the Fourth Proportional to 19,705.38, 29,553.62 and 5,665.38

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Solution

The fourth proportional to 19,705.38, 29,553.62 and 5,665.38 is: 8,496.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.38 : 29,553.62 = 5,665.38 : x
  2. Step 2: Convert to fraction form
    19,705.38/29,553.62 = 5,665.38/x
  3. Step 3: Cross multiply
    19,705.38x = 29,553.62 × 5,665.38
  4. Step 4: Simplify right side
    19,705.38x = 167,432,459.35
  5. Step 5: Solve for x
    x = 167,432,459.35/19,705.38
  6. Step 6: Final answer
    x = 8,496.79

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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.