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Finding the Fourth Proportional to 19,675.08, 29,516.94 and 5,825.16

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Solution

The fourth proportional to 19,675.08, 29,516.94 and 5,825.16 is: 8,739.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,675.08 : 29,516.94 = 5,825.16 : x
  2. Step 2: Convert to fraction form
    19,675.08/29,516.94 = 5,825.16/x
  3. Step 3: Cross multiply
    19,675.08x = 29,516.94 × 5,825.16
  4. Step 4: Simplify right side
    19,675.08x = 171,940,898.21
  5. Step 5: Solve for x
    x = 171,940,898.21/19,675.08
  6. Step 6: Final answer
    x = 8,739.02

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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.