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Finding the Fourth Proportional to 19,705.71, 29,562.78 and 5,665.62

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Solution

The fourth proportional to 19,705.71, 29,562.78 and 5,665.62 is: 8,499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.71 : 29,562.78 = 5,665.62 : x
  2. Step 2: Convert to fraction form
    19,705.71/29,562.78 = 5,665.62/x
  3. Step 3: Cross multiply
    19,705.71x = 29,562.78 × 5,665.62
  4. Step 4: Simplify right side
    19,705.71x = 167,491,477.62
  5. Step 5: Solve for x
    x = 167,491,477.62/19,705.71
  6. Step 6: Final answer
    x = 8,499.64

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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.