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Finding the Fourth Proportional to 13,574.08, 20,362.08 and 3,714.08

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Solution

The fourth proportional to 13,574.08, 20,362.08 and 3,714.08 is: 5,571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.08 : 20,362.08 = 3,714.08 : x
  2. Step 2: Convert to fraction form
    13,574.08/20,362.08 = 3,714.08/x
  3. Step 3: Cross multiply
    13,574.08x = 20,362.08 × 3,714.08
  4. Step 4: Simplify right side
    13,574.08x = 75,626,394.09
  5. Step 5: Solve for x
    x = 75,626,394.09/13,574.08
  6. Step 6: Final answer
    x = 5,571.38

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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.