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Finding the Fourth Proportional to 12,993.92, 19,502.04 and 5,208.08

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Solution

The fourth proportional to 12,993.92, 19,502.04 and 5,208.08 is: 7,816.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,993.92 : 19,502.04 = 5,208.08 : x
  2. Step 2: Convert to fraction form
    12,993.92/19,502.04 = 5,208.08/x
  3. Step 3: Cross multiply
    12,993.92x = 19,502.04 × 5,208.08
  4. Step 4: Simplify right side
    12,993.92x = 101,568,184.48
  5. Step 5: Solve for x
    x = 101,568,184.48/12,993.92
  6. Step 6: Final answer
    x = 7,816.59

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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.