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Finding the Fourth Proportional to 19,574.38, 29,362.38 and 5,723.38

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Solution

The fourth proportional to 19,574.38, 29,362.38 and 5,723.38 is: 8,585.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,574.38 : 29,362.38 = 5,723.38 : x
  2. Step 2: Convert to fraction form
    19,574.38/29,362.38 = 5,723.38/x
  3. Step 3: Cross multiply
    19,574.38x = 29,362.38 × 5,723.38
  4. Step 4: Simplify right side
    19,574.38x = 168,052,058.44
  5. Step 5: Solve for x
    x = 168,052,058.44/19,574.38
  6. Step 6: Final answer
    x = 8,585.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.