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Finding the Fourth Proportional to 19,678.30, 29,508.74 and 5,635.13

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Solution

The fourth proportional to 19,678.30, 29,508.74 and 5,635.13 is: 8,450.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,678.30 : 29,508.74 = 5,635.13 : x
  2. Step 2: Convert to fraction form
    19,678.30/29,508.74 = 5,635.13/x
  3. Step 3: Cross multiply
    19,678.30x = 29,508.74 × 5,635.13
  4. Step 4: Simplify right side
    19,678.30x = 166,285,431.45
  5. Step 5: Solve for x
    x = 166,285,431.45/19,678.30
  6. Step 6: Final answer
    x = 8,450.19

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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.